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93212045952 = 2733122433491
BaseRepresentation
bin101011011001111011…
…1101111001010000000
322220121002220112211020
41112303313233022000
53011344240432302
6110453201345440
76506611214004
oct1266367571200
9286532815736
1093212045952
1136592851823
1216094638280
138a3641a99c
144723740704
152658358ebc
hex15b3def280

93212045952 has 128 divisors (see below), whose sum is σ = 255768606720. Its totient is φ = 30046387200.

The previous prime is 93212045939. The next prime is 93212046013. The reversal of 93212045952 is 25954021239.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26698927 + ... + 26702417.

It is an arithmetic number, because the mean of its divisors is an integer number (1998192240).

Almost surely, 293212045952 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 93212045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127884303360).

93212045952 is an abundant number, since it is smaller than the sum of its proper divisors (162556560768).

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

93212045952 is a wasteful number, since it uses less digits than its factorization.

93212045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 93212045952 in words is "ninety-three billion, two hundred twelve million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2243 2976 3491 3968 4486 5952 6729 6982 8972 10473 11904 13458 13964 17944 20946 26916 27928 35888 41892 53832 55856 69533 71776 83784 107664 108221 111712 139066 143552 167568 208599 215328 216442 223424 278132 287104 324663 335136 417198 430656 432884 446848 556264 649326 670272 834396 861312 865768 1112528 1298652 1340544 1668792 1731536 2225056 2597304 3337584 3463072 4450112 5194608 6675168 6926144 7830313 8900224 10389216 13350336 13852288 15660626 20778432 23490939 26700672 31321252 41556864 46981878 62642504 93963756 125285008 187927512 242739703 250570016 375855024 485479406 501140032 728219109 751710048 970958812 1002280064 1456438218 1503420096 1941917624 2912876436 3006840192 3883835248 5825752872 7767670496 11651505744 15535340992 23303011488 31070681984 46606022976 93212045952