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5106532392 = 23321323071367
BaseRepresentation
bin1001100000101111…
…11000000000101000
3111011212211201112100
410300113320000220
540424233014032
62202414413400
7240354544353
oct46027700050
914155751470
105106532392
112190560405
12ba6201260
13634c4b800
143662b329a
151ed49b97c
hex1305f8028

5106532392 has 144 divisors (see below), whose sum is σ = 15035660640. Its totient is φ = 1564977024.

The previous prime is 5106532373. The next prime is 5106532447. The reversal of 5106532392 is 2932356015.

5106532392 is a `hidden beast` number, since 510 + 6 + 53 + 2 + 3 + 92 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3734893 + ... + 3736259.

It is an arithmetic number, because the mean of its divisors is an integer number (104414310).

Almost surely, 25106532392 is an apocalyptic number.

5106532392 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106532392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517830320).

5106532392 is an abundant number, since it is smaller than the sum of its proper divisors (9929128248).

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

5106532392 is a wasteful number, since it uses less digits than its factorization.

5106532392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5106532392 is about 71460.0055415615. The cubic root of 5106532392 is about 1722.0352228871.

The spelling of 5106532392 in words is "five billion, one hundred six million, five hundred thirty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 307 312 338 468 507 614 676 921 936 1014 1228 1352 1367 1521 1842 2028 2456 2734 2763 3042 3684 3991 4056 4101 5468 5526 6084 7368 7982 8202 10936 11052 11973 12168 12303 15964 16404 17771 22104 23946 24606 31928 32808 35542 35919 47892 49212 51883 53313 71084 71838 95784 98424 103766 106626 142168 143676 155649 159939 207532 213252 231023 287352 311298 319878 415064 419669 426504 462046 466947 622596 639756 693069 839338 924092 933894 1245192 1259007 1279512 1386138 1678676 1848184 1867788 2079207 2518014 2772276 3357352 3735576 3777021 4158414 5036028 5455697 5544552 7554042 8316828 10072056 10911394 15108084 16367091 16633656 21822788 30216168 32734182 43645576 49101273 65468364 70924061 98202546 130936728 141848122 196405092 212772183 283696244 392810184 425544366 567392488 638316549 851088732 1276633098 1702177464 2553266196 5106532392