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97699597060000 = 255413375767681
BaseRepresentation
bin10110001101101101110101…
…110001110000011110100000
3110210220222201220100011210211
4112031231311301300132200
5100301202233321410000
6543442324132103504
726402364043603405
oct2615556561603640
9423828656304724
1097699597060000
1129148191576331
12ab5aa05464b94
134269056452450
141a1a9858d22ac
15b465cda8d7ba
hex58db75c707a0

97699597060000 has 120 divisors (see below), whose sum is σ = 258844561604244. Its totient is φ = 36073697280000.

The previous prime is 97699597059973. The next prime is 97699597060001. The reversal of 97699597060000 is 6079599679.

It can be written as a sum of positive squares in 10 ways, for example, as 17098919687056 + 80600677372944 = 4135084^2 + 8977788^2 .

It is a super-4 number, since 4×976995970600004 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 97699597059899 and 97699597059908.

It is not an unprimeable number, because it can be changed into a prime (97699597060001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187623841 + ... + 188143840.

Almost surely, 297699597060000 is an apocalyptic number.

It is an amenable number.

97699597060000 is an abundant number, since it is smaller than the sum of its proper divisors (161144964544244).

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

97699597060000 is a wasteful number, since it uses less digits than its factorization.

97699597060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375767724 (or 375767701 counting only the distinct ones).

The product of its (nonzero) digits is 57868020, while the sum is 67.

The spelling of 97699597060000 in words is "ninety-seven trillion, six hundred ninety-nine billion, five hundred ninety-seven million, sixty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 130000 260000 375767681 751535362 1503070724 1878838405 3006141448 3757676810 4884979853 6012282896 7515353620 9394192025 9769959706 12024565792 15030707240 18788384050 19539919412 24424899265 30061414480 37576768100 39079838824 46970960125 48849798530 60122828960 75153536200 78159677648 93941920250 97699597060 122124496325 150307072400 156319355296 187883840500 195399194120 234854800625 244248992650 300614144800 375767681000 390798388240 469709601250 488497985300 610622481625 751535362000 781596776480 939419202500 976995970600 1221244963250 1503070724000 1878838405000 1953991941200 2442489926500 3053112408125 3757676810000 3907983882400 4884979853000 6106224816250 7515353620000 9769959706000 12212449632500 19539919412000 24424899265000 48849798530000 97699597060000