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97310631640 = 23541269220579
BaseRepresentation
bin101101010100000101…
…0100110011011011000
3100022011202010021102011
41122220022212123120
53043243010203030
6112412012315304
710013306502265
oct1325012463330
9308152107364
1097310631640
11382a6350922
1216a39172b34
13923a5a9211
1449d1bd826c
1527e80a4b2a
hex16a82a66d8

97310631640 has 64 divisors (see below), whose sum is σ = 225123948000. Its totient is φ = 37833538560.

The previous prime is 97310631611. The next prime is 97310631653. The reversal of 97310631640 is 4613601379.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 97310631593 and 97310631602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330871 + ... + 551449.

Almost surely, 297310631640 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 97310631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112561974000).

97310631640 is an abundant number, since it is smaller than the sum of its proper divisors (127813316360).

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

97310631640 is a wasteful number, since it uses less digits than its factorization.

97310631640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220900 (or 220896 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 97310631640 in words is "ninety-seven billion, three hundred ten million, six hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 269 328 410 538 820 1076 1345 1640 2152 2690 5380 10760 11029 22058 44116 55145 88232 110290 220579 220580 441158 441160 882316 1102895 1764632 2205790 4411580 8823160 9043739 18087478 36174956 45218695 59335751 72349912 90437390 118671502 180874780 237343004 296678755 361749560 474686008 593357510 1186715020 2373430040 2432765791 4865531582 9731063164 12163828955 19462126328 24327657910 48655315820 97310631640