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87487305464 = 231331173227691
BaseRepresentation
bin101000101111010100…
…1100101011011111000
322100211010210121012202
41101132221211123320
52413133222233324
6104105140325332
76215005553336
oct1213651453370
9270733717182
1087487305464
1134115337539
1214b573a3848
138333399990
14433d304b56
1524209948ae
hex145ea656f8

87487305464 has 128 divisors (see below), whose sum is σ = 184484321280. Its totient is φ = 38623219200.

The previous prime is 87487305427. The next prime is 87487305491. The reversal of 87487305464 is 46450378478.

It is a congruent number.

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, 126609359 + ... + 126610049.

It is an arithmetic number, because the mean of its divisors is an integer number (1441283760).

Almost surely, 287487305464 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 87487305464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92242160640).

87487305464 is an abundant number, since it is smaller than the sum of its proper divisors (96997015816).

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

87487305464 is a wasteful number, since it uses less digits than its factorization.

87487305464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 87487305464 in words is "eighty-seven billion, four hundred eighty-seven million, three hundred five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 173 227 248 346 403 454 691 692 806 908 1382 1384 1612 1816 2249 2764 2951 3224 4498 5363 5528 5902 7037 8983 8996 10726 11804 14074 17966 17992 21421 21452 23608 28148 35932 39271 42842 42904 56296 69719 71864 78542 85684 91481 119543 139438 156857 157084 171368 182962 239086 278473 278876 313714 314168 365924 478172 510523 556946 557752 627428 731848 956344 1021046 1113892 1217401 1254856 1554059 2039141 2042092 2227784 2434802 3108118 3705833 4078282 4084184 4862567 4869604 6216236 7411666 8156564 9725134 9739208 12432472 14823332 15826213 16313128 19450268 27136261 29646664 31652426 38900536 48175829 54272522 63213371 63304852 96351658 108545044 126426742 126609704 192703316 217090088 252853484 352771393 385406632 505706968 705542786 841224091 1411085572 1682448182 2822171144 3364896364 6729792728 10935913183 21871826366 43743652732 87487305464