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127352316410676 = 223272113638895493
BaseRepresentation
bin11100111101001110000101…
…100101001011101100110100
3121200220202120220020001202200
4130331032011211023230310
5113143020021000120201
61130504502501504500
735552621056423500
oct3475160545135464
9550822526201680
10127352316410676
113763a8a5600495
1212349895112130
13560a36c4c3506
142363c56639300
15eacad541c386
hex73d38594bb34

127352316410676 has 108 divisors (see below), whose sum is σ = 377790405721092. Its totient is φ = 36064372732416.

The previous prime is 127352316410653. The next prime is 127352316410701. The reversal of 127352316410676 is 676014613253721.

127352316410676 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 523 + 1 + 6 + 4 + 106 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1295021240100 + 126057295170576 = 1137990^2 + 11227524^2 .

It is a super-2 number, since 2×1273523164106762 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319248415 + ... + 319647078.

Almost surely, 2127352316410676 is an apocalyptic number.

It is an amenable number.

127352316410676 is an abundant number, since it is smaller than the sum of its proper divisors (250438089310416).

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

127352316410676 is a wasteful number, since it uses less digits than its factorization.

127352316410676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638895630 (or 638895618 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 127352316410676 in words is "one hundred twenty-seven trillion, three hundred fifty-two billion, three hundred sixteen million, four hundred ten thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 113 126 147 196 226 252 294 339 441 452 588 678 791 882 1017 1356 1582 1764 2034 2373 3164 4068 4746 5537 7119 9492 11074 14238 16611 22148 28476 33222 49833 66444 99666 199332 638895493 1277790986 1916686479 2555581972 3833372958 4472268451 5750059437 7666745916 8944536902 11500118874 13416805353 17889073804 23000237748 26833610706 31305879157 40250416059 53667221412 62611758314 72195190709 80500832118 93917637471 125223516628 144390381418 161001664236 187835274942 216585572127 281752912413 288780762836 375670549884 433171144254 505366334963 563505824826 649756716381 866342288508 1010732669926 1127011649652 1299513432762 1516099004889 2021465339852 2599026865524 3032198009778 3537564344741 4548297014667 6064396019556 7075128689482 9096594029334 10612693034223 14150257378964 18193188058668 21225386068446 31838079102669 42450772136892 63676158205338 127352316410676