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84048044832 = 25321409207121
BaseRepresentation
bin100111001000110100…
…1110110001100100000
322000221110020001120100
41032101221312030200
52334112244413312
6102340001142400
76033534410403
oct1162151661440
9260843201510
1084048044832
113270aa26084
121435762aa00
137c059a8a0b
1440d4637d3a
1522bda845dc
hex1391a76320

84048044832 has 72 divisors (see below), whose sum is σ = 239182414380. Its totient is φ = 27995996160.

The previous prime is 84048044803. The next prime is 84048044879. The reversal of 84048044832 is 23844084048.

It can be written as a sum of positive squares in 2 ways, for example, as 80385858576 + 3662186256 = 283524^2 + 60516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302232 + ... + 509352.

Almost surely, 284048044832 is an apocalyptic number.

It is an amenable number.

84048044832 is an abundant number, since it is smaller than the sum of its proper divisors (155134369548).

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

84048044832 is a wasteful number, since it uses less digits than its factorization.

84048044832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208546 (or 208535 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 84048044832 in words is "eighty-four billion, forty-eight million, forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1409 2818 4227 5636 8454 11272 12681 16908 22544 25362 33816 45088 50724 67632 101448 135264 202896 207121 405792 414242 621363 828484 1242726 1656968 1864089 2485452 3313936 3728178 4970904 6627872 7456356 9941808 14912712 19883616 29825424 59650848 291833489 583666978 875500467 1167333956 1751000934 2334667912 2626501401 3502001868 4669335824 5253002802 7004003736 9338671648 10506005604 14008007472 21012011208 28016014944 42024022416 84048044832