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1157116377375 = 3453716326157
BaseRepresentation
bin10000110101101001100…
…000101011100100011111
311002121201102121100220000
4100311221200223210133
5122424233243034000
62243323311425343
7146412264632130
oct20655140534437
94077642540800
101157116377375
11406804035762
1216830bb25253
1385166ca9c8a
144000cda9c87
1520174e9c000
hex10d6982b91f

1157116377375 has 80 divisors (see below), whose sum is σ = 2465380467264. Its totient is φ = 528967454400.

The previous prime is 1157116377337. The next prime is 1157116377397. The reversal of 1157116377375 is 5737736117511.

1157116377375 is a `hidden beast` number, since 1 + 1 + 571 + 1 + 6 + 37 + 7 + 37 + 5 = 666.

It is not a de Polignac number, because 1157116377375 - 216 = 1157116311839 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8092204 + ... + 8233953.

Almost surely, 21157116377375 is an apocalyptic number.

1157116377375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1157116377375 is an abundant number, since it is smaller than the sum of its proper divisors (1308264089889).

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

1157116377375 is an equidigital number, since it uses as much as digits as its factorization.

1157116377375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16326191 (or 16326172 counting only the distinct ones).

The product of its digits is 3241350, while the sum is 54.

The spelling of 1157116377375 in words is "one trillion, one hundred fifty-seven billion, one hundred sixteen million, three hundred seventy-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 315 375 405 525 567 675 875 945 1125 1575 2025 2625 2835 3375 4725 7875 10125 14175 23625 70875 16326157 48978471 81630785 114283099 146935413 244892355 342849297 408153925 440806239 571415495 734677065 1028547891 1224461775 1322418717 1714246485 2040769625 2204031195 2857077475 3085643673 3673385325 5142739455 6122308875 6612093585 8571232425 9256931019 11020155975 14285387375 15428218365 18366926625 25713697275 33060467925 42856162125 46284655095 55100779875 77141091825 128568486375 165302339625 231423275475 385705459125 1157116377375