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992968139176 = 231331618956731
BaseRepresentation
bin11100111001100011000…
…00110110000110101000
310111221000122201212212021
432130301200312012220
5112232044320423201
62040055133154224
7131511450631036
oct16346140660650
93457018655767
10992968139176
1135312a69a872
1214053b02b974
13728374b8950
14360ba595556
151ac69256ea1
hexe7318361a8

992968139176 has 128 divisors (see below), whose sum is σ = 2127313843200. Its totient is φ = 431329536000.

The previous prime is 992968139161. The next prime is 992968139183. The reversal of 992968139176 is 671931869299.

It is a super-3 number, since 3×9929681391763 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17474731 + ... + 17531461.

It is an arithmetic number, because the mean of its divisors is an integer number (16619639400).

Almost surely, 2992968139176 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 992968139176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063656921600).

992968139176 is an abundant number, since it is smaller than the sum of its proper divisors (1134345704024).

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

992968139176 is a wasteful number, since it uses less digits than its factorization.

992968139176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56931 (or 56927 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 70.

The spelling of 992968139176 in words is "nine hundred ninety-two billion, nine hundred sixty-eight million, one hundred thirty-nine thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 26 31 52 61 62 89 104 122 124 178 244 248 356 403 488 712 793 806 1157 1586 1612 1891 2314 2759 3172 3224 3782 4628 5429 5518 6344 7564 9256 10858 11036 15128 21716 22072 24583 35867 43432 49166 56731 70577 71734 98332 113462 141154 143468 168299 196664 226924 282308 286936 336598 453848 564616 673196 737503 1346392 1475006 1758661 2187887 2950012 3460591 3517322 4375774 5049059 5900024 6921182 7034644 8751548 10098118 13842364 14069288 17503096 20196236 22862593 27684728 40392472 44987683 45725186 65637767 89975366 91450372 107278321 131275534 156520829 179950732 182900744 214556642 262551068 307992599 313041658 359901464 429113284 525102136 615985198 626083316 858226568 1231970396 1252166632 1394618173 2034770777 2463940792 2789236346 4003903787 4069541554 5578472692 8007807574 8139083108 9547770569 11156945384 16015615148 16278166216 19095541138 32031230296 38191082276 76382164552 124121017397 248242034794 496484069588 992968139176