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107709609048976 = 241122358712
BaseRepresentation
bin11000011111011000011000…
…111111000111101110010000
3112010100221022211220011112201
4120133120120333013232100
5103104203234404031401
61021025040012532544
731454522343615154
oct3037303077075620
9463327284804481
10107709609048976
1131357430362900
12100b6a16181154
134813c849050ac
141c8525c5c5064
15c6bb9295bb01
hex61f618fc7b90

107709609048976 has 45 divisors (see below), whose sum is σ = 229384607887099. Its totient is φ = 48958705637600.

The previous prime is 107709609048919. The next prime is 107709609049033. The reversal of 107709609048976 is 679840906907701.

The square root of 107709609048976 is 10378324.

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

It is an interprime number because it is at equal distance from previous prime (107709609048919) and next prime (107709609049033).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107709609048899 and 107709609048908.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 456528321 + ... + 456764191.

Almost surely, 2107709609048976 is an apocalyptic number.

107709609048976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107709609048976 is the 10378324-th square number.

It is an amenable number.

107709609048976 is an abundant number, since it is smaller than the sum of its proper divisors (121674998838123).

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

107709609048976 is an frugal number, since it uses more digits than its factorization.

107709609048976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471772 (or 235884 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 73.

The spelling of 107709609048976 in words is "one hundred seven trillion, seven hundred nine billion, six hundred nine million, forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 235871 471742 943484 1886968 2594581 3773936 5189162 10378324 20756648 28540391 41513296 57080782 114161564 228323128 456646256 55635128641 111270257282 222540514564 445081029128 611986415051 890162058256 1223972830102 2447945660204 4895891320408 6731850565561 9791782640816 13463701131122 26927402262244 53854804524488 107709609048976