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152843300368 = 24115367724203
BaseRepresentation
bin1000111001011000101…
…0111010111000010000
3112121111220122010201121
42032112022322320100
510001010341102433
6154114254212024
714020412421463
oct2162612727020
9477456563647
10152843300368
1159903070870
1225756ab4014
131154a65a505
14757d2472da
153e9851dc2d
hex23962bae10

152843300368 has 80 divisors (see below), whose sum is σ = 329650347456. Its totient is φ = 68059896320.

The previous prime is 152843300353. The next prime is 152843300413. The reversal of 152843300368 is 863003348251.

It is a super-2 number, since 2×1528433003682 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6302955 + ... + 6327157.

Almost surely, 2152843300368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152843300368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164825173728).

152843300368 is an abundant number, since it is smaller than the sum of its proper divisors (176807047088).

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

152843300368 is a wasteful number, since it uses less digits than its factorization.

152843300368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24952 (or 24946 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 152843300368 in words is "one hundred fifty-two billion, eight hundred forty-three million, three hundred thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 677 848 1166 1354 2332 2708 4664 5416 7447 9328 10832 14894 24203 29788 35881 48406 59576 71762 96812 119152 143524 193624 266233 287048 387248 394691 532466 574096 789382 1064932 1282759 1578764 2129864 2565518 3157528 4259728 5131036 6315056 10262072 14110349 16385431 20524144 28220698 32770862 56441396 65541724 112882792 131083448 180239741 225765584 262166896 360479482 720958964 868427843 1441917928 1736855686 2883835856 3473711372 6947422744 9552706273 13894845488 19105412546 38210825092 76421650184 152843300368