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13034735551692 = 223561892470109
BaseRepresentation
bin1011110110101110001011…
…0010000100010011001100
31201011002221010120101100000
42331223202302010103030
53202030114300123232
643420024100004300
72513504620045401
oct275534262042314
951132833511300
1013034735551692
114176000449908
121566276690690
1373722a17b1ba
14330c553742a8
151790e3dcc27c
hexbdae2c844cc

13034735551692 has 144 divisors (see below), whose sum is σ = 35119628762400. Its totient is φ = 4225663157760.

The previous prime is 13034735551667. The next prime is 13034735551703. The reversal of 13034735551692 is 29615553743031.

13034735551692 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 7 + 35 + 5 + 516 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041934 + ... + 6512042.

It is an arithmetic number, because the mean of its divisors is an integer number (243886310850).

Almost surely, 213034735551692 is an apocalyptic number.

13034735551692 is a gapful number since it is divisible by the number (12) 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 13034735551692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559814381200).

13034735551692 is an abundant number, since it is smaller than the sum of its proper divisors (22084893210708).

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

13034735551692 is a wasteful number, since it uses less digits than its factorization.

13034735551692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470278 (or 2470264 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 13034735551692 in words is "thirteen trillion, thirty-four billion, seven hundred thirty-five million, five hundred fifty-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 89 108 122 162 178 183 243 244 267 324 356 366 486 534 549 732 801 972 1068 1098 1602 1647 2196 2403 3204 3294 4806 4941 5429 6588 7209 9612 9882 10858 14418 14823 16287 19764 21627 21716 28836 29646 32574 43254 48861 59292 65148 86508 97722 146583 195444 293166 439749 586332 879498 1319247 1758996 2470109 2638494 4940218 5276988 7410327 9880436 14820654 22230981 29641308 44461962 66692943 88923924 133385886 150676649 200078829 219839701 266771772 301353298 400157658 439679402 452029947 600236487 602706596 659519103 800315316 879358804 904059894 1200472974 1319038206 1356089841 1808119788 1978557309 2400945948 2638076412 2712179682 3957114618 4068269523 5424359364 5935671927 7914229236 8136539046 11871343854 12204808569 13410221761 16273078092 17807015781 23742687708 24409617138 26820443522 35614031562 36614425707 40230665283 48819234276 53421047343 53640887044 71228063124 73228851414 80461330566 106842094686 120691995849 146457702828 160922661132 213684189372 241383991698 362075987547 482767983396 724151975094 1086227962641 1448303950188 2172455925282 3258683887923 4344911850564 6517367775846 13034735551692