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200152366456 = 23723336174241
BaseRepresentation
bin1011101001101000000…
…0101011110101111000
3201010121221222200222111
42322122000223311320
511234403001211311
6231540531502104
720313651021040
oct2723200536570
9633557880874
10200152366456
117797a87a399
123295a757934
1315b49a69243
14998a424720
155316a1ed21
hex2e9a02bd78

200152366456 has 64 divisors (see below), whose sum is σ = 430959372480. Its totient is φ = 85367685120.

The previous prime is 200152366417. The next prime is 200152366493. The reversal of 200152366456 is 654663251002.

It is a happy number.

200152366456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47192496 + ... + 47196736.

It is an arithmetic number, because the mean of its divisors is an integer number (6733740195).

Almost surely, 2200152366456 is an apocalyptic number.

It is an amenable number.

200152366456 is an abundant number, since it is smaller than the sum of its proper divisors (230807006024).

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

200152366456 is a wasteful number, since it uses less digits than its factorization.

200152366456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 200152366456 in words is "two hundred billion, one hundred fifty-two million, three hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 233 466 932 1631 1864 3262 3617 4241 6524 7234 8482 13048 14468 16964 25319 28936 29687 33928 50638 59374 101276 118748 202552 237496 842761 988153 1685522 1976306 3371044 3952612 5899327 6742088 6917071 7905224 11798654 13834142 15339697 23597308 27668284 30679394 47194616 55336568 61358788 107377879 122717576 214755758 429511516 859023032 3574149401 7148298802 14296597604 25019045807 28593195208 50038091614 100076183228 200152366456