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328567411264 = 2613725232
BaseRepresentation
bin1001100100000000010…
…01001101001001000000
31011102002102112212211011
410302000021031021000
520340401224130024
6410535231530304
732511130625551
oct4620011151100
91142072485734
10328567411264
111173878131a4
1253818689994
1324ca3474b61
1411c8d1d4328
158830657094
hex4c8024d240

328567411264 has 63 divisors (see below), whose sum is σ = 658053049017. Its totient is φ = 162772729344.

The previous prime is 328567411229. The next prime is 328567411267. The reversal of 328567411264 is 462114765823.

The square root of 328567411264 is 573208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 193002062400 + 135565348864 = 439320^2 + 368192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (328567411267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 628235707 + ... + 628236229.

Almost surely, 2328567411264 is an apocalyptic number.

328567411264 is the 573208-th square number.

It is an amenable number.

328567411264 is an abundant number, since it is smaller than the sum of its proper divisors (329485637753).

328567411264 is an frugal number, since it uses more digits than its factorization.

328567411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 662 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 328567411264 by its sum of digits (49), we get a square (16099803151936 = 40124562).

The spelling of 328567411264 in words is "three hundred twenty-eight billion, five hundred sixty-seven million, four hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 137 274 523 548 1046 1096 2092 2192 4184 4384 8368 8768 16736 18769 33472 37538 71651 75076 143302 150152 273529 286604 300304 547058 573208 600608 1094116 1146416 1201216 2188232 2292832 4376464 4585664 8752928 9816187 17505856 19632374 37473473 39264748 74946946 78529496 149893892 157058992 299787784 314117984 599575568 628235968 1199151136 2398302272 5133865801 10267731602 20535463204 41070926408 82141852816 164283705632 328567411264