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104977296005 = 5971455714869
BaseRepresentation
bin110000111000100100…
…0100110101010000101
3101000222001022011210012
41201301020212222011
53204443141433010
6120120443440005
710404302202401
oct1416110465205
9330861264705
10104977296005
114057aa4627a
1218418826005
139b8ca4c1ca
14511c0d2101
152ae61a9005
hex1871226a85

104977296005 has 16 divisors (see below), whose sum is σ = 127288746480. Its totient is φ = 83104745472.

The previous prime is 104977295993. The next prime is 104977296007. The reversal of 104977296005 is 500692779401.

It is a Cunningham number, because it is equal to 3240022+1.

It can be written as a sum of positive squares in 8 ways, for example, as 17710818724 + 87266477281 = 133082^2 + 295409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104977296005 is a prime.

It is a super-2 number, since 2×1049772960052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104977296007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7052711 + ... + 7067579.

It is an arithmetic number, because the mean of its divisors is an integer number (7955546655).

Almost surely, 2104977296005 is an apocalyptic number.

It is an amenable number.

104977296005 is a deficient number, since it is larger than the sum of its proper divisors (22311450475).

104977296005 is a wasteful number, since it uses less digits than its factorization.

104977296005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29528.

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 104977296005 in words is "one hundred four billion, nine hundred seventy-seven million, two hundred ninety-six thousand, five".

Divisors: 1 5 97 485 14557 14869 72785 74345 1412029 1442293 7060145 7211465 216448033 1082240165 20995459201 104977296005