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630078531136 = 261721113731999
BaseRepresentation
bin10010010101100111001…
…10110110011001000000
32020020100020220202022221
421022303212312121000
540310400100444021
61201242025340424
763343635101425
oct11126346663100
92206306822287
10630078531136
1122323a9a519a
12a2144037714
134755438a222
14226d2cd1d4c
15115ca80a241
hex92b39b6640

630078531136 has 112 divisors (see below), whose sum is σ = 1331768736000. Its totient is φ = 294739845120.

The previous prime is 630078531109. The next prime is 630078531197. The reversal of 630078531136 is 631135870036.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 630078531092 and 630078531101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315195865 + ... + 315197863.

Almost surely, 2630078531136 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 630078531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665884368000).

630078531136 is an abundant number, since it is smaller than the sum of its proper divisors (701690204864).

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

630078531136 is a wasteful number, since it uses less digits than its factorization.

630078531136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 630078531136 in words is "six hundred thirty billion, seventy-eight million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 211 272 422 544 844 1088 1373 1688 1999 2746 3376 3587 3998 5492 6752 7174 7996 10984 13504 14348 15992 21968 23341 28696 31984 33983 43936 46682 57392 63968 67966 87872 93364 114784 127936 135932 186728 229568 271864 289703 373456 421789 543728 579406 746912 843578 1087456 1158812 1493824 1687156 2174912 2317624 2744627 3374312 4635248 4924951 5489254 6748624 7170413 9270496 9849902 10978508 13497248 14340826 18540992 19699804 21957016 26994496 28681652 39399608 43914032 46658659 57363304 78799216 87828064 93317318 114726608 157598432 175656128 186634636 229453216 315196864 373269272 458906432 579116297 746538544 1158232594 1493077088 2316465188 2986154176 4632930376 9265860752 9844977049 18531721504 19689954098 37063443008 39379908196 78759816392 157519632784 315039265568 630078531136