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87951060130128 = 243131911889390653
BaseRepresentation
bin10011111111110110110011…
…101100100101100101010000
3102112102001001121020110000020
4103333312303230211211100
543011442232343131003
6511020054221223440
724345153155113326
oct2377666354454520
9375361047213006
1087951060130128
1126029920622828
129a45608101b80
133a0c998517aa0
1417a0bd5623d16
15a27c20116d53
hex4ffdb3b25950

87951060130128 has 160 divisors (see below), whose sum is σ = 246096268830720. Its totient is φ = 26905859604480.

The previous prime is 87951060130121. The next prime is 87951060130133. The reversal of 87951060130128 is 82103106015978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87951060130121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224943250 + ... + 225333902.

It is an arithmetic number, because the mean of its divisors is an integer number (1538101680192).

Almost surely, 287951060130128 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 87951060130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123048134415360).

87951060130128 is an abundant number, since it is smaller than the sum of its proper divisors (158145208700592).

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

87951060130128 is a wasteful number, since it uses less digits than its factorization.

87951060130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392757 (or 392751 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 87951060130128 in words is "eighty-seven trillion, nine hundred fifty-one billion, sixty million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 573 624 764 1146 1528 1889 2292 2483 3056 3778 4584 4966 5667 7449 7556 9168 9932 11334 14898 15112 19864 22668 24557 29796 30224 39728 45336 49114 59592 73671 90672 98228 119184 147342 196456 294684 360799 390653 392912 589368 721598 781306 1082397 1171959 1178736 1443196 1562612 2164794 2343918 2886392 3125224 4329588 4687836 4690387 5078489 5772784 6250448 8659176 9375672 9380774 10156978 14071161 15235467 17318352 18751344 18761548 20313956 28142322 30470934 37523096 40627912 56284644 60941868 74614723 75046192 81255824 112569288 121883736 149229446 223844169 225138576 243767472 298458892 447688338 596917784 737943517 895376676 969991399 1193835568 1475887034 1790753352 1939982798 2213830551 2909974197 2951774068 3581506704 3879965596 4427661102 5819948394 5903548136 7759931192 8855322204 9593265721 11639896788 11807096272 15519862384 17710644408 19186531442 23279793576 28779797163 35421288816 38373062884 46559587152 57559594326 76746125768 115119188652 140947211747 153492251536 230238377304 281894423494 422841635241 460476754608 563788846988 845683270482 1127577693976 1691366540964 1832313752711 2255155387952 3382733081928 3664627505422 5496941258133 6765466163856 7329255010844 10993882516266 14658510021688 21987765032532 29317020043376 43975530065064 87951060130128