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87001715680 = 2551154191373
BaseRepresentation
bin101000100000110110…
…1001101001111100000
322022120022002002020221
41101001231031033200
52411134414400210
6103545032412424
76166661244565
oct1210155151740
9268508062227
1087001715680
1133996222770
1214a40847114
1382868bb949
1442d4a2086c
1523e30261da
hex1441b4d3e0

87001715680 has 96 divisors (see below), whose sum is σ = 224644075488. Its totient is φ = 31578163200.

The previous prime is 87001715657. The next prime is 87001715687. The reversal of 87001715680 is 8651710078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87001715687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906474 + ... + 997846.

It is an arithmetic number, because the mean of its divisors is an integer number (2340042453).

Almost surely, 287001715680 is an apocalyptic number.

87001715680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87001715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112322037744).

87001715680 is an abundant number, since it is smaller than the sum of its proper divisors (137642359808).

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

87001715680 is a wasteful number, since it uses less digits than its factorization.

87001715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91940 (or 91932 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 43.

The spelling of 87001715680 in words is "eighty-seven billion, one million, seven hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 541 880 1082 1760 2164 2705 4328 5410 5951 8656 10820 11902 17312 21640 23804 29755 43280 47608 59510 86560 91373 95216 119020 182746 190432 238040 365492 456865 476080 730984 913730 952160 1005103 1461968 1827460 2010206 2923936 3654920 4020412 5025515 7309840 8040824 10051030 14619680 16081648 20102060 32163296 40204120 49432793 80408240 98865586 160816480 197731172 247163965 395462344 494327930 543760723 790924688 988655860 1087521446 1581849376 1977311720 2175042892 2718803615 3954623440 4350085784 5437607230 7909246880 8700171568 10875214460 17400343136 21750428920 43500857840 87001715680