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36806082048 = 29332662477
BaseRepresentation
bin100010010001110100…
…000011111000000000
310112000002010200202000
4202101310003320000
51100334324111143
624524122024000
72442042351441
oct422164037000
9115002120660
1036806082048
111467808a22a
127172348000
133617463198
141ad23272c8
15e563dabd3
hex891d03e00

36806082048 has 80 divisors (see below), whose sum is σ = 108948599760. Its totient is φ = 12268689408.

The previous prime is 36806082037. The next prime is 36806082077. The reversal of 36806082048 is 84028060863.

It is a happy number.

36806082048 is a `hidden beast` number, since 36 + 8 + 0 + 608 + 2 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36806081994 and 36806082012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317415 + ... + 1345062.

It is an arithmetic number, because the mean of its divisors is an integer number (1361857497).

Almost surely, 236806082048 is an apocalyptic number.

It is an amenable number.

36806082048 is an abundant number, since it is smaller than the sum of its proper divisors (72142517712).

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

36806082048 is an equidigital number, since it uses as much as digits as its factorization.

36806082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662504 (or 2662482 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 36806082048 in words is "thirty-six billion, eight hundred six million, eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 2662477 5324954 7987431 10649908 15974862 21299816 23962293 31949724 42599632 47924586 63899448 71886879 85199264 95849172 127798896 143773758 170398528 191698344 255597792 287547516 340797056 383396688 511195584 575095032 681594112 766793376 1022391168 1150190064 1363188224 1533586752 2044782336 2300380128 3067173504 4089564672 4600760256 6134347008 9201520512 12268694016 18403041024 36806082048