Search a number
-
+
10145023655466 = 23713915231141009
BaseRepresentation
bin1001001110100001001010…
…0001111111111000101010
31022220212002010211021100010
42103220102201333320222
52312204002023433331
633324320505152350
72064645100153410
oct223502241777052
938825063737303
1010145023655466
113261531411937
12117a20ba8b6b6
1358789673c2cb
14271043a192b0
15128d66bdee46
hex93a1287fe2a

10145023655466 has 64 divisors (see below), whose sum is σ = 23370805785600. Its totient is φ = 2875833075456.

The previous prime is 10145023655441. The next prime is 10145023655509. The reversal of 10145023655466 is 66455632054101.

It is a happy number.

10145023655466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8320770 + ... + 9461778.

It is an arithmetic number, because the mean of its divisors is an integer number (365168840400).

Almost surely, 210145023655466 is an apocalyptic number.

10145023655466 is an abundant number, since it is smaller than the sum of its proper divisors (13225782130134).

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

10145023655466 is a wasteful number, since it uses less digits than its factorization.

10145023655466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142683.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 10145023655466 in words is "ten trillion, one hundred forty-five billion, twenty-three million, six hundred fifty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 139 278 417 834 973 1523 1946 2919 3046 4569 5838 9138 10661 21322 31983 63966 211697 423394 635091 1141009 1270182 1481879 2282018 2963758 3423027 4445637 6846054 7987063 8891274 15974126 23961189 47922378 158600251 317200502 475800753 951601506 1110201757 1737756707 2220403514 3330605271 3475513414 5213270121 6661210542 10426540242 12164296949 24328593898 36492890847 72985781694 241548182273 483096364546 724644546819 1449289093638 1690837275911 3381674551822 5072511827733 10145023655466