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77044472337040 = 2451394178726061
BaseRepresentation
bin10001100001001001010000…
…011001111101001010010000
3101002210101020202010112201221
4101201021100121331022100
540044244034404241130
6431505424133334424
722141164563361445
oct2141112031751220
9332711222115657
1077044472337040
11226044170a851a
128783899a97414
1333cb354b24060
141504d882139cc
158d918465387a
hex46125067d290

77044472337040 has 80 divisors (see below), whose sum is σ = 193112510852016. Its totient is φ = 28416958617600.

The previous prime is 77044472337037. The next prime is 77044472337047. The reversal of 77044472337040 is 4073327444077.

It can be written as a sum of positive squares in 8 ways, for example, as 4177625317776 + 72866847019264 = 2043924^2 + 8536208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (77044472337047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38384391 + ... + 40341670.

Almost surely, 277044472337040 is an apocalyptic number.

It is an amenable number.

77044472337040 is an abundant number, since it is smaller than the sum of its proper divisors (116068038514976).

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

77044472337040 is a wasteful number, since it uses less digits than its factorization.

77044472337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78727028 (or 78727022 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 52.

The spelling of 77044472337040 in words is "seventy-seven trillion, forty-four billion, four hundred seventy-two million, three hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 941 1040 1882 3764 4705 7528 9410 12233 15056 18820 24466 37640 48932 61165 75280 97864 122330 195728 244660 489320 978640 78726061 157452122 314904244 393630305 629808488 787260610 1023438793 1259616976 1574521220 2046877586 3149042440 4093755172 5117193965 6298084880 8187510344 10234387930 16375020688 20468775860 40937551720 74081223401 81875103440 148162446802 296324893604 370406117005 592649787208 740812234010 963055904213 1185299574416 1481624468020 1926111808426 2963248936040 3852223616852 4815279521065 5926497872080 7704447233704 9630559042130 15408894467408 19261118084260 38522236168520 77044472337040