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2121847914368 = 27713182164141
BaseRepresentation
bin11110111000000111111…
…111011011111110000000
321111211212020012020102102
4132320013333123332000
5234231021031224433
64302432524405532
7306204240454640
oct36700777337600
97454766166372
102121847914368
11748963916366
122a328a6a68a8
131251215467a0
14749ab3c2520
153a2da3034e8
hex1ee07fdbf80

2121847914368 has 64 divisors (see below), whose sum is σ = 5202607895520. Its totient is φ = 839412357120.

The previous prime is 2121847914341. The next prime is 2121847914391. The reversal of 2121847914368 is 8634197481212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91070423 + ... + 91093718.

Almost surely, 22121847914368 is an apocalyptic number.

2121847914368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2121847914368 is an abundant number, since it is smaller than the sum of its proper divisors (3080759981152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121847914368 is a wasteful number, since it uses less digits than its factorization.

2121847914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182164175 (or 182164163 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The spelling of 2121847914368 in words is "two trillion, one hundred twenty-one billion, eight hundred forty-seven million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 182164141 364328282 728656564 1275148987 1457313128 2368133833 2550297974 2914626256 4736267666 5100595948 5829252512 9472535332 10201191896 11658505024 16576936831 18945070664 20402383792 23317010048 33153873662 37890141328 40804767584 66307747324 75780282656 81609535168 132615494648 151560565312 163219070336 265230989296 303121130624 530461978592 1060923957184 2121847914368