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2131661683648 = 267171914731187
BaseRepresentation
bin11111000001010000111…
…011111111101111000000
321112210012011112101000201
4133001100323333233000
5234411120342334043
64311134415454544
7310002364231120
oct37012073775700
97483164471021
102131661683648
1175203a4a2492
122a5169227454
1312602678b063
147525c908c80
153a6b1b76c4d
hex1f050effbc0

2131661683648 has 112 divisors (see below), whose sum is σ = 5388079322880. Its totient is φ = 814575661056.

The previous prime is 2131661683589. The next prime is 2131661683721. The reversal of 2131661683648 is 8463861661312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 7220890 + ... + 7510297.

Almost surely, 22131661683648 is an apocalyptic number.

2131661683648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2131661683648 is an abundant number, since it is smaller than the sum of its proper divisors (3256417639232).

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

2131661683648 is a wasteful number, since it uses less digits than its factorization.

2131661683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731242 (or 14731232 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 2131661683648 in words is "two trillion, one hundred thirty-one billion, six hundred sixty-one million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 952 1064 1088 1216 1292 1904 2128 2261 2584 3808 4256 4522 5168 7616 8512 9044 10336 18088 20672 36176 72352 144704 14731187 29462374 58924748 103118309 117849496 206236618 235698992 250430179 279892553 412473236 471397984 500860358 559785106 824946472 942795968 1001720716 1119570212 1649892944 1753011253 1959247871 2003441432 2239140424 3299785888 3506022506 3918495742 4006882864 4478280848 4758173401 6599571776 7012045012 7836991484 8013765728 8956561696 9516346802 14024090024 15673982968 16027531456 17913123392 19032693604 28048180048 31347965936 33307213807 38065387208 56096360096 62695931872 66614427614 76130774416 112192720192 125391863744 133228855228 152261548832 266457710456 304523097664 532915420912 1065830841824 2131661683648