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152315104400 = 2452380787761
BaseRepresentation
bin1000110111011010110…
…0000000110010010000
3112120011002202000001222
42031312230000302100
54443420131320100
6153550025144212
714001340011524
oct2156654006220
9476132660058
10152315104400
11596619a6378
122562a02b068
13114950b2614
14752d031d84
153e66e86485
hex2376b00c90

152315104400 has 30 divisors (see below), whose sum is σ = 365937039282. Its totient is φ = 60926041600.

The previous prime is 152315104399. The next prime is 152315104429. The reversal of 152315104400 is 4401513251.

It can be written as a sum of positive squares in 3 ways, for example, as 48507419536 + 103807684864 = 220244^2 + 322192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152315104400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190393481 + ... + 190394280.

Almost surely, 2152315104400 is an apocalyptic number.

152315104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152315104400 is an abundant number, since it is smaller than the sum of its proper divisors (213621934882).

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

152315104400 is a wasteful number, since it uses less digits than its factorization.

152315104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380787779 (or 380787768 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 152315104400 its reverse (4401513251), we get a palindrome (156716617651).

The spelling of 152315104400 in words is "one hundred fifty-two billion, three hundred fifteen million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 380787761 761575522 1523151044 1903938805 3046302088 3807877610 6092604176 7615755220 9519694025 15231510440 19039388050 30463020880 38078776100 76157552200 152315104400