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86897813360 = 24517274123311
BaseRepresentation
bin101000011101110000…
…0110110011101110000
322022022001120022001212
41100323200312131300
52410431320011420
6103530441415252
76164260140431
oct1207340663560
9268261508055
1086897813360
1133942606386
1214a11a9a528
13826b20cb97
1442c4cd5488
1523d8d503c5
hex143b836770

86897813360 has 80 divisors (see below), whose sum is σ = 214009195392. Its totient is φ = 32701132800.

The previous prime is 86897813333. The next prime is 86897813407. The reversal of 86897813360 is 6331879868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 86897813360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3716105 + ... + 3739415.

Almost surely, 286897813360 is an apocalyptic number.

86897813360 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 86897813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107004597696).

86897813360 is an abundant number, since it is smaller than the sum of its proper divisors (127111382032).

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

86897813360 is a wasteful number, since it uses less digits than its factorization.

86897813360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26082 (or 26076 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 59.

The spelling of 86897813360 in words is "eighty-six billion, eight hundred ninety-seven million, eight hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2741 5482 10964 13705 21928 23311 27410 43856 46597 46622 54820 93194 93244 109640 116555 186388 186488 219280 232985 233110 372776 372976 396287 465970 466220 745552 792574 931940 932440 1585148 1863880 1864880 1981435 3170296 3727760 3962870 6340592 7925740 15851480 31702960 63895451 127790902 255581804 319477255 511163608 638954510 1022327216 1086222667 1277909020 2172445334 2555818040 4344890668 5111636080 5431113335 8689781336 10862226670 17379562672 21724453340 43448906680 86897813360