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113977274928196 = 2297211324872
BaseRepresentation
bin11001111010100101100110…
…111111000000110001000100
3112221120010021021000020001011
4121322211212333000301010
5104414400424340200241
61042224234240412004
733002405060561221
oct3172454677006104
9487503237006034
10113977274928196
1133353544351a89
1210949686917004
134b7a01ac6aa34
14202075b0ba948
15d29c255b8281
hex67a966fc0c44

113977274928196 has 81 divisors (see below), whose sum is σ = 203755411232919. Its totient is φ = 55787212228608.

The previous prime is 113977274928161. The next prime is 113977274928233. The reversal of 113977274928196 is 691829472779311.

The square root of 113977274928196 is 10676014.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47674688758596 + 66302586169600 = 6904686^2 + 8142640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234039578665 + ... + 234039579151.

Almost surely, 2113977274928196 is an apocalyptic number.

113977274928196 is the 10676014-th square number.

It is an amenable number.

113977274928196 is a deficient number, since it is larger than the sum of its proper divisors (89778136304723).

113977274928196 is an frugal number, since it uses more digits than its factorization.

113977274928196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 699 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 76.

The spelling of 113977274928196 in words is "one hundred thirteen trillion, nine hundred seventy-seven billion, two hundred seventy-four million, nine hundred twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 4 97 113 194 226 388 452 487 974 1948 9409 10961 12769 18818 21922 25538 37636 43844 47239 51076 55031 94478 110062 188956 220124 237169 474338 948676 1063217 1238593 2126434 2477186 4252868 4582183 4954372 5338007 6218503 9164366 10676014 12437006 18328732 21352028 23005393 24874012 26800097 46010786 53600194 92021572 107200388 120143521 240287042 480574084 517786679 603194791 1035573358 1206389582 2071146716 2231523121 2412779164 2599609409 3028410961 4463046242 5199218818 6056821922 8926092484 10398437636 12113643844 58509894727 117019789454 234039578908 252162112673 293755863217 504324225346 587511726434 1008648450692 1175023452868 28494318732049 56988637464098 113977274928196