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152564440410151 = 71115111641179903
BaseRepresentation
bin100010101100000110101101…
…010001101010100000100111
3202000012000111011112100222121
4202230012231101222200213
5124444103433221111101
61300251045242010411
744064263025451030
oct4254065521524047
9660160434470877
10152564440410151
11446802412a0460
12151400164a6a07
1367189c3919653
1429962305b9a87
1512988405100a1
hex8ac1ad46a827

152564440410151 has 32 divisors (see below), whose sum is σ = 190350075396096. Its totient is φ = 118793978892000.

The previous prime is 152564440410143. The next prime is 152564440410211. The reversal of 152564440410151 is 151014044465251.

It is a cyclic number.

It is not a de Polignac number, because 152564440410151 - 23 = 152564440410143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152564440410098 and 152564440410107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152564441410151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909330666 + ... + 1909410568.

It is an arithmetic number, because the mean of its divisors is an integer number (5948439856128).

Almost surely, 2152564440410151 is an apocalyptic number.

152564440410151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152564440410151 is a deficient number, since it is larger than the sum of its proper divisors (37785634985945).

152564440410151 is a wasteful number, since it uses less digits than its factorization.

152564440410151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97843.

The product of its (nonzero) digits is 384000, while the sum is 43.

The spelling of 152564440410151 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, four hundred forty million, four hundred ten thousand, one hundred fifty-one".

Divisors: 1 7 11 77 1511 10577 16411 16621 79903 114877 116347 180521 559321 878933 1263647 6152531 24797021 120733433 173579147 272767231 845134031 1311288133 1328067763 1909370617 9179016931 9296474341 14424169463 100969186241 1981356368963 13869494582741 21794920058593 152564440410151