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61685522208 = 25321911879497
BaseRepresentation
bin111001011100101111…
…100101111100100000
312220012222012012112200
4321130233211330200
52002312443202313
644200554453200
74312424200422
oct713457457440
9186188165480
1061685522208
1124184961922
12bb56434200
135a80a079cb
142db268a812
1519106e6b73
hexe5cbe5f20

61685522208 has 144 divisors (see below), whose sum is σ = 184825761120. Its totient is φ = 19461178368.

The previous prime is 61685522183. The next prime is 61685522231. The reversal of 61685522208 is 80222558616.

It is a happy number.

61685522208 is a `hidden beast` number, since 61 + 68 + 5 + 522 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×616855222082 (a number of 22 digits) contains 22 as substring.

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, 6490516 + ... + 6500012.

It is an arithmetic number, because the mean of its divisors is an integer number (1283512230).

Almost surely, 261685522208 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 61685522208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92412880560).

61685522208 is an abundant number, since it is smaller than the sum of its proper divisors (123140238912).

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

61685522208 is a wasteful number, since it uses less digits than its factorization.

61685522208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 61685522208 in words is "sixty-one billion, six hundred eighty-five million, five hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1187 1368 1824 2374 2736 3561 4748 5472 7122 9496 9497 10683 14244 18992 18994 21366 22553 28488 28491 37984 37988 42732 45106 56976 56982 67659 75976 85464 85473 90212 113952 113964 135318 151952 170928 170946 180424 180443 202977 227928 270636 303904 341856 341892 360848 360886 405954 455856 541272 541329 683784 721696 721772 811908 911712 1082544 1082658 1367568 1443544 1623816 1623987 2165088 2165316 2735136 2887088 3247632 3247974 4330632 5774176 6495264 6495948 8661264 11272939 12991896 17322528 22545878 25983792 33818817 45091756 51967584 67637634 90183512 101456451 135275268 180367024 202912902 214185841 270550536 360734048 405825804 428371682 541101072 642557523 811651608 856743364 1082202144 1285115046 1623303216 1713486728 1927672569 2570230092 3246606432 3426973456 3855345138 5140460184 6853946912 7710690276 10280920368 15421380552 20561840736 30842761104 61685522208