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93117938680 = 23513280917027
BaseRepresentation
bin101011010111001000…
…0101111101111111000
322220100112211101220201
41112232100233233320
53011201143014210
6110440000331544
76504356263534
oct1265620575770
9286315741821
1093117938680
1136544715618
1216069013bb4
138a1ca8b400
144715044bc4
15264ee6a53a
hex15ae42fbf8

93117938680 has 96 divisors (see below), whose sum is σ = 227165439600. Its totient is φ = 34337491968.

The previous prime is 93117938659. The next prime is 93117938681. The reversal of 93117938680 is 8683971139.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93117938681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5460327 + ... + 5477353.

Almost surely, 293117938680 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 93117938680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113582719800).

93117938680 is an abundant number, since it is smaller than the sum of its proper divisors (134047500920).

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

93117938680 is a wasteful number, since it uses less digits than its factorization.

93117938680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17873 (or 17856 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 93117938680 in words is "ninety-three billion, one hundred seventeen million, nine hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 809 845 1352 1618 1690 3236 3380 4045 6472 6760 8090 10517 16180 17027 21034 32360 34054 42068 52585 68108 84136 85135 105170 136216 136721 170270 210340 221351 273442 340540 420680 442702 546884 681080 683605 885404 1093768 1106755 1367210 1770808 2213510 2734420 2877563 4427020 5468840 5755126 8854040 11510252 13774843 14387815 23020504 27549686 28775630 55099372 57551260 68874215 110198744 115102520 137748430 179072959 275496860 358145918 550993720 716291836 895364795 1432583672 1790729590 2327948467 3581459180 4655896934 7162918360 9311793868 11639742335 18623587736 23279484670 46558969340 93117938680