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152552505504 = 2537227012657
BaseRepresentation
bin1000111000010011010…
…1101000000010100000
3112120202122110020011110
42032010311220002200
54444411420134004
6154025345343320
714010251621160
oct2160465500240
9476678406143
10152552505504
1159773a04333
1225695637b40
1311502333549
14755278c5a0
153e7cc2c589
hex2384d680a0

152552505504 has 48 divisors (see below), whose sum is σ = 457657518528. Its totient is φ = 43586429952.

The previous prime is 152552505473. The next prime is 152552505509. The reversal of 152552505504 is 405505255251.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (152552505509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113505657 + ... + 113507000.

It is an arithmetic number, because the mean of its divisors is an integer number (9534531636).

Almost surely, 2152552505504 is an apocalyptic number.

152552505504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152552505504 is an abundant number, since it is smaller than the sum of its proper divisors (305105013024).

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

152552505504 is a wasteful number, since it uses less digits than its factorization.

152552505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227012677 (or 227012669 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 39.

The spelling of 152552505504 in words is "one hundred fifty-two billion, five hundred fifty-two million, five hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 227012657 454025314 681037971 908050628 1362075942 1589088599 1816101256 2724151884 3178177198 3632202512 4767265797 5448303768 6356354396 7264405024 9534531594 10896607536 12712708792 19069063188 21793215072 25425417584 38138126376 50850835168 76276252752 152552505504