Search a number
-
+
10839955008 = 263293162801
BaseRepresentation
bin10100001100001110…
…01001011001000000
31000222110021202210010
422012013021121000
5134200012030013
64551345504520
7532424045241
oct120607113100
930873252703
1010839955008
114662965703
122126342140
131039a1c57c
1474b92ccc8
154369c87c3
hex2861c9640

10839955008 has 112 divisors (see below), whose sum is σ = 30627279360. Its totient is φ = 3376128000.

The previous prime is 10839955003. The next prime is 10839955013. The reversal of 10839955008 is 80055993801.

It is an interprime number because it is at equal distance from previous prime (10839955003) and next prime (10839955013).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10839955001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141208 + ... + 204008.

Almost surely, 210839955008 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 10839955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313639680).

10839955008 is an abundant number, since it is smaller than the sum of its proper divisors (19787324352).

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

10839955008 is a wasteful number, since it uses less digits than its factorization.

10839955008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62876 (or 62866 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 10839955008 in words is "ten billion, eight hundred thirty-nine million, nine hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 7192 10788 14384 21576 28768 43152 57536 62801 86304 125602 172608 188403 251204 376806 502408 753612 1004816 1507224 1821229 1946831 2009632 3014448 3642458 3893662 4019264 5463687 5840493 6028896 7284916 7787324 10927374 11680986 12057792 14569832 15574648 21854748 23361972 29139664 31149296 43709496 46723944 56458099 58279328 62298592 87418992 93447888 112916198 116558656 124597184 169374297 174837984 186895776 225832396 338748594 349675968 373791552 451664792 677497188 903329584 1354994376 1806659168 2709988752 3613318336 5419977504 10839955008