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98964000940 = 225717261715889
BaseRepresentation
bin101110000101010110…
…1101101000010101100
3100110102222020010201011
41130022231231002230
53110134241012230
6113244033555004
710102264062040
oct1341255550254
9313388203634
1098964000940
1138a74664732
121721aa15a64
139441ca9b4c
144b0b622020
1528932e6e2a
hex170ab6d0ac

98964000940 has 96 divisors (see below), whose sum is σ = 251596920960. Its totient is φ = 31920390144.

The previous prime is 98964000901. The next prime is 98964000943. The reversal of 98964000940 is 4900046989.

It is not an unprimeable number, because it can be changed into a prime (98964000943) 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, 6220516 + ... + 6236404.

It is an arithmetic number, because the mean of its divisors is an integer number (2620801260).

Almost surely, 298964000940 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 98964000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798460480).

98964000940 is an abundant number, since it is smaller than the sum of its proper divisors (152632920020).

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

98964000940 is a wasteful number, since it uses less digits than its factorization.

98964000940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18539 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 98964000940 in words is "ninety-eight billion, nine hundred sixty-four million, nine hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 2617 5234 10468 13085 15889 18319 26170 31778 36638 44489 52340 63556 73276 79445 88978 91595 111223 158890 177956 183190 222445 222446 270113 311423 317780 366380 444890 444892 540226 556115 622846 889780 1080452 1112230 1245692 1350565 1557115 1890791 2224460 2701130 3114230 3781582 5402260 6228460 7563164 9453955 18907910 37815820 41581513 83163026 166326052 207907565 291070591 415815130 582141182 706885721 831630260 1164282364 1413771442 1455352955 2827542884 2910705910 3534428605 4948200047 5821411820 7068857210 9896400094 14137714420 19792800188 24741000235 49482000470 98964000940