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87503468096 = 2611533376959
BaseRepresentation
bin101000101111110011…
…1001111011001000000
322100212021012202011202
41101133213033121000
52413201341434341
6104110515000332
76215263130612
oct1213747173100
9270767182152
1087503468096
1134123476790
1214b608990a8
138336838575
144341510db2
1524220d879b
hex145f9cf640

87503468096 has 112 divisors (see below), whose sum is σ = 193599694080. Its totient is φ = 38902456320.

The previous prime is 87503468083. The next prime is 87503468153. The reversal of 87503468096 is 69086430578.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12570665 + ... + 12577623.

Almost surely, 287503468096 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 87503468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96799847040).

87503468096 is an abundant number, since it is smaller than the sum of its proper divisors (106096225984).

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

87503468096 is a wasteful number, since it uses less digits than its factorization.

87503468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 87503468096 in words is "eighty-seven billion, five hundred three million, four hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 337 352 424 583 674 704 848 1166 1348 1696 2332 2696 3392 3707 4664 5392 6959 7414 9328 10784 13918 14828 17861 18656 21568 27836 29656 35722 37312 55672 59312 71444 76549 111344 118624 142888 153098 196471 222688 237248 285776 306196 368827 392942 445376 571552 612392 737654 785884 1143104 1224784 1475308 1571768 2345183 2449568 2950616 3143536 4057097 4690366 4899136 5901232 6287072 8114194 9380732 11802464 12574144 16228388 18761464 23604928 25797013 32456776 37522928 51594026 64913552 75045856 103188052 124294699 129827104 150091712 206376104 248589398 259654208 412752208 497178796 825504416 994357592 1367241689 1651008832 1988715184 2734483378 3977430368 5468966756 7954860736 10937933512 21875867024 43751734048 87503468096