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93971693568 = 21435873257
BaseRepresentation
bin101011110000100100…
…1100100000000000000
322222120001022122110010
41113201021210000000
53014423223143233
6111100415304520
76534464134044
oct1274111440000
9288501278403
1093971693568
1136942631275
1216266b1b140
138b2791280c
1447965a4024
15269edaeb63
hex15e1264000

93971693568 has 120 divisors (see below), whose sum is σ = 251087491872. Its totient is φ = 31260934144.

The previous prime is 93971693549. The next prime is 93971693591. The reversal of 93971693568 is 86539617939.

It is a junction number, because it is equal to n+sod(n) for n = 93971693499 and 93971693508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28850596 + ... + 28853852.

Almost surely, 293971693568 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 93971693568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125543745936).

93971693568 is an abundant number, since it is smaller than the sum of its proper divisors (157115798304).

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

93971693568 is an equidigital number, since it uses as much as digits as its factorization.

93971693568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3849 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 66.

The spelling of 93971693568 in words is "ninety-three billion, nine hundred seventy-one million, six hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 587 768 1024 1174 1536 1761 2048 2348 3072 3257 3522 4096 4696 6144 6514 7044 8192 9392 9771 12288 13028 14088 16384 18784 19542 24576 26056 28176 37568 39084 49152 52112 56352 75136 78168 104224 112704 150272 156336 208448 225408 300544 312672 416896 450816 601088 625344 833792 901632 1202176 1250688 1667584 1803264 1911859 2404352 2501376 3335168 3606528 3823718 4808704 5002752 5735577 6670336 7213056 7647436 9617408 10005504 11471154 13340672 14426112 15294872 20011008 22942308 26681344 28852224 30589744 40022016 45884616 53362688 61179488 80044032 91769232 122358976 160088064 183538464 244717952 367076928 489435904 734153856 978871808 1468307712 1957743616 2936615424 3915487232 5873230848 7830974464 11746461696 15661948928 23492923392 31323897856 46985846784 93971693568