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97932659840 = 275612508521
BaseRepresentation
bin101101100110100111…
…1011100110010000000
3100100210002120120200122
41123031033130302000
53101031230103330
6112553432435412
710034601605501
oct1331517346200
9310702516618
1097932659840
1138595484914
1216b91548b68
139309418442
144a50676ba8
1528329c45e5
hex16cd3dcc80

97932659840 has 64 divisors (see below), whose sum is σ = 237958396920. Its totient is φ = 38530867200.

The previous prime is 97932659809. The next prime is 97932659857. The reversal of 97932659840 is 4895623979.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37255176256 + 60677483584 = 193016^2 + 246328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215221 + ... + 1293300.

Almost surely, 297932659840 is an apocalyptic number.

It is an amenable number.

97932659840 is an abundant number, since it is smaller than the sum of its proper divisors (140025737080).

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

97932659840 is a wasteful number, since it uses less digits than its factorization.

97932659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508601 (or 2508589 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 62.

The spelling of 97932659840 in words is "ninety-seven billion, nine hundred thirty-two million, six hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3904 4880 7808 9760 19520 39040 2508521 5017042 10034084 12542605 20068168 25085210 40136336 50170420 80272672 100340840 153019781 160545344 200681680 306039562 321090688 401363360 612079124 765098905 802726720 1224158248 1530197810 1605453440 2448316496 3060395620 4896632992 6120791240 9793265984 12241582480 19586531968 24483164960 48966329920 97932659840