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13083936390 = 2325722966879
BaseRepresentation
bin11000010111101110…
…10000011010000110
31020202211201211112200
430023313100122012
5203243441431030
610002150055330
7642142424100
oct141367203206
936684654480
1013083936390
1156045a5078
12265194a546
1313068ac9c5
148c1978570
155189d1d60
hex30bdd0686

13083936390 has 72 divisors (see below), whose sum is σ = 39572245440. Its totient is φ = 2990613024.

The previous prime is 13083936373. The next prime is 13083936407. The reversal of 13083936390 is 9363938031.

13083936390 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 3 + 9 + 3 + 639 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13083936373) and next prime (13083936407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1479030 + ... + 1487849.

It is an arithmetic number, because the mean of its divisors is an integer number (549614520).

Almost surely, 213083936390 is an apocalyptic number.

13083936390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13083936390 is an abundant number, since it is smaller than the sum of its proper divisors (26488309050).

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

13083936390 is a wasteful number, since it uses less digits than its factorization.

13083936390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966906 (or 2966896 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13083936390 in words is "thirteen billion, eighty-three million, nine hundred thirty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 2966879 5933758 8900637 14834395 17801274 20768153 26701911 29668790 41536306 44503185 53403822 62304459 89006370 103840765 124608918 133509555 145377071 186913377 207681530 267019110 290754142 311522295 373826754 436131213 623044590 726885355 872262426 934566885 1308393639 1453770710 1869133770 2180656065 2616787278 4361312130 6541968195 13083936390