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532057098944 = 26731227168769
BaseRepresentation
bin1111011111000010001…
…00110000101011000000
31212212022222022001212102
413233201010300223000
532204123104131234
61044231302045532
753303604502250
oct7574104605300
91785288261772
10532057098944
1119570a3a83a8
1287148a198a8
133b23275c887
141ba7494b960
15dc9014cc7e
hex7be1130ac0

532057098944 has 112 divisors (see below), whose sum is σ = 1251047454720. Its totient is φ = 219695431680.

The previous prime is 532057098917. The next prime is 532057098959. The reversal of 532057098944 is 449890750235.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 532057098944.

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, 3068192 + ... + 3236960.

It is an arithmetic number, because the mean of its divisors is an integer number (11170066560).

Almost surely, 2532057098944 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 532057098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625523727360).

532057098944 is an abundant number, since it is smaller than the sum of its proper divisors (718990355776).

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

532057098944 is a wasteful number, since it uses less digits than its factorization.

532057098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169046 (or 169036 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 532057098944 in words is "five hundred thirty-two billion, fifty-seven million, ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 227 248 434 448 454 496 868 908 992 1589 1736 1816 1984 3178 3472 3632 6356 6944 7037 7264 12712 13888 14074 14528 25424 28148 49259 50848 56296 98518 101696 112592 168769 197036 225184 337538 394072 450368 675076 788144 1181383 1350152 1576288 2362766 2700304 3152576 4725532 5231839 5400608 9451064 10463678 10801216 18902128 20927356 36622873 37804256 38310563 41854712 73245746 75608512 76621126 83709424 146491492 153242252 167418848 268173941 292982984 306484504 334837696 536347882 585965968 612969008 1072695764 1171931936 1187627453 1225938016 2145391528 2343863872 2375254906 2451876032 4290783056 4750509812 8313392171 8581566112 9501019624 16626784342 17163132224 19002039248 33253568684 38004078496 66507137368 76008156992 133014274736 266028549472 532057098944