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5104007106 = 231137256489
BaseRepresentation
bin1001100000011100…
…01111011111000010
3111011201002102111020
410300032033133002
540423111211411
62202244330310
7240324226122
oct46016173702
914151072436
105104007106
11218a0960a0
12ba53a3996
13634576263
14365c16c82
151ed14d606
hex13038f7c2

5104007106 has 48 divisors (see below), whose sum is σ = 11445325920. Its totient is φ = 1504840320.

The previous prime is 5104007089. The next prime is 5104007131. The reversal of 5104007106 is 6017004015.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62110 + ... + 118598.

It is an arithmetic number, because the mean of its divisors is an integer number (238444290).

Almost surely, 25104007106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104007106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722662960).

5104007106 is an abundant number, since it is smaller than the sum of its proper divisors (6341318814).

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

5104007106 is a wasteful number, since it uses less digits than its factorization.

5104007106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56579 (or 56542 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5104007106 is about 71442.3341304020. The cubic root of 5104007106 is about 1721.7513153916.

The spelling of 5104007106 in words is "five billion, one hundred four million, seven thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1369 2442 2738 4107 8214 15059 30118 45177 56489 90354 112978 169467 338934 621379 1242758 1864137 2090093 3728274 4180186 6270279 12540558 22991023 45982046 68973069 77333441 137946138 154666882 232000323 464000646 850667851 1701335702 2552003553 5104007106