Search a number
-
+
5520964032 = 263215761051
BaseRepresentation
bin1010010010001001…
…10011100111000000
3112020202200000212100
411021010303213000
542301331322112
62311501230400
7253546264023
oct51104634700
915222600770
105520964032
112383492aa1
1210a0b62400
1369ca73b2c
143a53531ba
15224a612dc
hex1491339c0

5520964032 has 84 divisors (see below), whose sum is σ = 15925902616. Its totient is φ = 1828569600.

The previous prime is 5520963997. The next prime is 5520964067. The reversal of 5520964032 is 2304690255.

5520964032 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 9 + 640 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5520963997) and next prime (5520964067).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59907 + ... + 120957.

Almost surely, 25520964032 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 5520964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962951308).

5520964032 is an abundant number, since it is smaller than the sum of its proper divisors (10404938584).

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

5520964032 is a wasteful number, since it uses less digits than its factorization.

5520964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61226 (or 61213 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5520964032 is about 74303.1899180648. The cubic root of 5520964032 is about 1767.4140616162.

The spelling of 5520964032 in words is "five billion, five hundred twenty million, nine hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 157 192 288 314 471 576 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 15072 22608 30144 45216 61051 90432 122102 183153 244204 366306 488408 549459 732612 976816 1098918 1465224 1953632 2197836 2930448 3907264 4395672 5860896 8791344 9585007 11721792 17582688 19170014 28755021 35165376 38340028 57510042 76680056 86265063 115020084 153360112 172530126 230040168 306720224 345060252 460080336 613440448 690120504 920160672 1380241008 1840321344 2760482016 5520964032