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55666563696 = 243210129313063
BaseRepresentation
bin110011110101111111…
…000101101001110000
312022200111110102200100
4303311333011221300
51403001120014241
641323423352400
74010316661422
oct636577055160
9168614412610
1055666563696
1121676362247
12a956752700
135331a318b3
1429a1144812
1516ac0b69b6
hexcf5fc5a70

55666563696 has 120 divisors (see below), whose sum is σ = 157880582496. Its totient is φ = 18307699200.

The previous prime is 55666563649. The next prime is 55666563709. The reversal of 55666563696 is 69636566655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254861 + ... + 4267923.

Almost surely, 255666563696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55666563696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78940291248).

55666563696 is an abundant number, since it is smaller than the sum of its proper divisors (102214018800).

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

55666563696 is a wasteful number, since it uses less digits than its factorization.

55666563696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13471 (or 13462 counting only the distinct ones).

The product of its digits is 157464000, while the sum is 63.

The spelling of 55666563696 in words is "fifty-five billion, six hundred sixty-six million, five hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 293 303 404 586 606 808 879 909 1172 1212 1616 1758 1818 2344 2424 2637 3516 3636 4688 4848 5274 7032 7272 10548 13063 14064 14544 21096 26126 29593 39189 42192 52252 59186 78378 88779 104504 117567 118372 156756 177558 209008 235134 236744 266337 313512 355116 470268 473488 532674 627024 710232 940536 1065348 1319363 1420464 1881072 2130696 2638726 3827459 3958089 4261392 5277452 7654918 7916178 10554904 11482377 11874267 15309836 15832356 21109808 22964754 23748534 30619672 31664712 34447131 45929508 47497068 61239344 63329424 68894262 91859016 94994136 137788524 183718032 189988272 275577048 386573359 551154096 773146718 1159720077 1546293436 2319440154 3092586872 3479160231 4638880308 6185173744 6958320462 9277760616 13916640924 18555521232 27833281848 55666563696