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13708007136 = 25355929879
BaseRepresentation
bin11001100010000111…
…11001011011100000
31022101100000220200000
430301003321123200
5211033222212021
610144122100000
7663461065245
oct146103713340
938340026600
1013708007136
1158a48a371a
1227a694a600
1313a5c85835
149407c95cc
155536a6b26
hex3310f96e0

13708007136 has 144 divisors (see below), whose sum is σ = 41112489600. Its totient is φ = 4491739008.

The previous prime is 13708007113. The next prime is 13708007167. The reversal of 13708007136 is 63170080731.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13708007136.

It is a congruent 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, 443845 + ... + 473723.

It is an arithmetic number, because the mean of its divisors is an integer number (285503400).

Almost surely, 213708007136 is an apocalyptic number.

13708007136 is a gapful number since it is divisible by the number (16) 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 13708007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556244800).

13708007136 is an abundant number, since it is smaller than the sum of its proper divisors (27404482464).

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

13708007136 is an equidigital number, since it uses as much as digits as its factorization.

13708007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29963 (or 29943 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 13708007136 its reverse (63170080731), we get a palindrome (76878087867).

The spelling of 13708007136 in words is "thirteen billion, seven hundred eight million, seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 243 288 324 354 432 472 486 531 648 708 864 944 972 1062 1296 1416 1593 1888 1944 2124 2592 2832 3186 3888 4248 4779 5664 6372 7776 8496 9558 12744 14337 16992 19116 25488 28674 29879 38232 50976 57348 59758 76464 89637 114696 119516 152928 179274 229392 239032 268911 358548 458784 478064 537822 717096 806733 956128 1075644 1434192 1613466 1762861 2151288 2420199 2868384 3226932 3525722 4302576 4840398 5288583 6453864 7051444 7260597 8605152 9680796 10577166 12907728 14102888 14521194 15865749 19361592 21154332 25815456 28205776 29042388 31731498 38723184 42308664 47597247 56411552 58084776 63462996 77446368 84617328 95194494 116169552 126925992 142791741 169234656 190388988 232339104 253851984 285583482 380777976 428375223 507703968 571166964 761555952 856750446 1142333928 1523111904 1713500892 2284667856 3427001784 4569335712 6854003568 13708007136