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139768465536 = 2732722476057
BaseRepresentation
bin1000001000101011011…
…0011000100010000000
3111100202201000201011200
42002022312120202000
54242221211344121
6144113031141200
713045410232500
oct2021266304200
9440681021150
10139768465536
1154303722947
1223108214800
131024591645b
146a9c99ba00
153980738a26
hex208ad98880

139768465536 has 144 divisors (see below), whose sum is σ = 467863539390. Its totient is φ = 39933831168.

The previous prime is 139768465519. The next prime is 139768465553. The reversal of 139768465536 is 635564867931.

139768465536 is a `hidden beast` number, since 1 + 3 + 9 + 76 + 8 + 4 + 6 + 553 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (139768465519) and next prime (139768465553).

It can be written as a sum of positive squares in only one way, i.e., 116652303936 + 23116161600 = 341544^2 + 152040^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1181581 + ... + 1294476.

Almost surely, 2139768465536 is an apocalyptic number.

139768465536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

139768465536 is an abundant number, since it is smaller than the sum of its proper divisors (328095073854).

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

139768465536 is a wasteful number, since it uses less digits than its factorization.

139768465536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476091 (or 2476069 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 139768465536 in words is "one hundred thirty-nine billion, seven hundred sixty-eight million, four hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 2476057 4952114 7428171 9904228 14856342 17332399 19808456 22284513 29712684 34664798 39616912 44569026 51997197 59425368 69329596 79233824 89138052 103994394 118850736 121326793 138659192 155991591 158467648 178276104 207988788 237701472 242653586 277318384 311983182 316935296 356552208 363980379 415977576 475402944 485307172 554636768 623966364 713104416 727960758 831955152 950805888 970614344 1091941137 1109273536 1247932728 1426208832 1455921516 1663910304 1941228688 2183882274 2218547072 2495865456 2852417664 2911843032 3327820608 3882457376 4367764548 4991730912 5823686064 6655641216 7764914752 8735529096 9983461824 11647372128 15529829504 17471058192 19966923648 23294744256 34942116384 46589488512 69884232768 139768465536