Search a number
-
+
152900645796 = 223243137720971
BaseRepresentation
bin1000111001100110010…
…1101011001110100100
3112121122220112120212100
42032121211223032210
510001120031131141
6154124103252100
714022010021353
oct2163145531644
9477586476770
10152900645796
1159932479288
122577214a030
13115594b8112
147586ad399a
153e9d59a0b6
hex239996b3a4

152900645796 has 72 divisors (see below), whose sum is σ = 398374520544. Its totient is φ = 49418167680.

The previous prime is 152900645791. The next prime is 152900645801. The reversal of 152900645796 is 697546009251.

152900645796 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 0 + 0 + 64 + 579 + 6 = 666.

152900645796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152900645791) and next prime (152900645801).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (152900645791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148410 + ... + 572561.

It is an arithmetic number, because the mean of its divisors is an integer number (5532979452).

Almost surely, 2152900645796 is an apocalyptic number.

It is an amenable number.

152900645796 is an abundant number, since it is smaller than the sum of its proper divisors (245473874748).

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

152900645796 is a wasteful number, since it uses less digits than its factorization.

152900645796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721161 (or 721156 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 152900645796 in words is "one hundred fifty-two billion, nine hundred million, six hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 137 172 258 274 387 411 516 548 774 822 1233 1548 1644 2466 4932 5891 11782 17673 23564 35346 53019 70692 106038 212076 720971 1441942 2162913 2883884 4325826 6488739 8651652 12977478 25954956 31001753 62003506 93005259 98773027 124007012 186010518 197546054 279015777 296319081 372021036 395092108 558031554 592638162 888957243 1116063108 1185276324 1777914486 3555828972 4247240161 8494480322 12741720483 16988960644 25483440966 38225161449 50966881932 76450322898 152900645796