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5442165760 = 21051636521
BaseRepresentation
bin1010001000110000…
…01101110000000000
3112001021101122221211
411010120031300000
542121143301020
62300004255504
7251601434323
oct50430156000
915037348854
105442165760
112342a62759
12107a6a1594
13689644735
14398ac07ba
1521cb9885a
hex14460dc00

5442165760 has 88 divisors (see below), whose sum is σ = 13136925456. Its totient is φ = 2163179520.

The previous prime is 5442165733. The next prime is 5442165761. The reversal of 5442165760 is 675612445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442165761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831300 + ... + 837820.

Almost surely, 25442165760 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 5442165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568462728).

5442165760 is an abundant number, since it is smaller than the sum of its proper divisors (7694759696).

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

5442165760 is a wasteful number, since it uses less digits than its factorization.

5442165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 5442165760 is about 73771.0360507428. The cubic root of 5442165760 is about 1758.9652319618.

The spelling of 5442165760 in words is "five billion, four hundred forty-two million, one hundred sixty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 256 320 326 512 640 652 815 1024 1280 1304 1630 2560 2608 3260 5120 5216 6520 6521 10432 13040 13042 20864 26080 26084 32605 41728 52160 52168 65210 83456 104320 104336 130420 166912 208640 208672 260840 417280 417344 521680 834560 834688 1043360 1062923 1669376 2086720 2125846 3338752 4173440 4251692 5314615 6677504 8346880 8503384 10629230 16693760 17006768 21258460 33387520 34013536 42516920 68027072 85033840 136054144 170067680 272108288 340135360 544216576 680270720 1088433152 1360541440 2721082880 5442165760