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5532435168 = 253138535197
BaseRepresentation
bin1010010011100001…
…00100001011100000
3112021120020211022020
411021300210023200
542312300411133
62312551141440
7254045631411
oct51160441340
915246224266
105532435168
112389a08477
1210a4974880
136a225c1a0
143a6a9b808
15225a7a0b3
hex149c242e0

5532435168 has 96 divisors (see below), whose sum is σ = 15661116576. Its totient is φ = 1699964928.

The previous prime is 5532435149. The next prime is 5532435179. The reversal of 5532435168 is 8615342355.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061946 + ... + 1067142.

It is an arithmetic number, because the mean of its divisors is an integer number (163136631).

Almost surely, 25532435168 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 5532435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830558288).

5532435168 is an abundant number, since it is smaller than the sum of its proper divisors (10128681408).

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

5532435168 is a wasteful number, since it uses less digits than its factorization.

5532435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6068 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 5532435168 is about 74380.3412737532. The cubic root of 5532435168 is about 1768.6372913268.

The spelling of 5532435168 in words is "five billion, five hundred thirty-two million, four hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 853 1248 1706 2559 3412 5118 5197 6824 10236 10394 11089 13648 15591 20472 20788 22178 27296 31182 33267 40944 41576 44356 62364 66534 67561 81888 83152 88712 124728 133068 135122 166304 177424 202683 249456 266136 270244 354848 405366 498912 532272 540488 810732 1064544 1080976 1621464 2161952 3242928 4433041 6485856 8866082 13299123 17732164 26598246 35464328 53196492 57629533 70928656 106392984 115259066 141857312 172888599 212785968 230518132 345777198 425571936 461036264 691554396 922072528 1383108792 1844145056 2766217584 5532435168