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7861087052 = 2272132733251
BaseRepresentation
bin1110101001000111…
…01010101101001100
3202021212000121011022
413110203222231030
5112044414241202
63340014213312
7365543065100
oct72443525514
922255017138
107861087052
113374419065
1216347b4238
13983826800
14548067900
1531020aea2
hex1d48eab4c

7861087052 has 108 divisors (see below), whose sum is σ = 17571395016. Its totient is φ = 3066336000.

The previous prime is 7861087051. The next prime is 7861087057. The reversal of 7861087052 is 2507801687.

It is a junction number, because it is equal to n+sod(n) for n = 7861086994 and 7861087012.

It is not an unprimeable number, because it can be changed into a prime (7861087051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2416427 + ... + 2419677.

It is an arithmetic number, because the mean of its divisors is an integer number (162698102).

Almost surely, 27861087052 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 7861087052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785697508).

7861087052 is an abundant number, since it is smaller than the sum of its proper divisors (9710307964).

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

7861087052 is a wasteful number, since it uses less digits than its factorization.

7861087052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The square root of 7861087052 is about 88662.7715109335. The cubic root of 7861087052 is about 1988.3562642605.

The spelling of 7861087052 in words is "seven billion, eight hundred sixty-one million, eighty-seven thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 73 91 98 146 169 182 196 292 338 364 511 637 676 949 1022 1183 1274 1898 2044 2366 2548 3251 3577 3796 4732 6502 6643 7154 8281 12337 13004 13286 14308 16562 22757 24674 26572 33124 42263 45514 46501 49348 84526 86359 91028 93002 159299 169052 172718 186004 237323 295841 318598 345436 474646 549419 591682 604513 637196 949292 1098838 1183364 1209026 1661261 2070887 2197676 2418052 3085199 3322522 3845933 4141774 6170398 6645044 7691866 8283548 11628827 12340796 15383732 21596393 23257654 26921531 40107587 43192786 46515308 53843062 80215174 86385572 107686124 151174751 160430348 280753109 302349502 561506218 604699004 1123012436 1965271763 3930543526 7861087052