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6113133416 = 23131929107997
BaseRepresentation
bin1011011000101111…
…10000001101101000
3120210000221100112202
411230113300031220
5100004430232131
62450333355332
7304326530255
oct55427601550
916700840482
106113133416
112657782685
121227338b48
1376565a410
1441dc5c42c
1525ba33bcb
hex16c5f0368

6113133416 has 128 divisors (see below), whose sum is σ = 13580784000. Its totient is φ = 2554094592.

The previous prime is 6113133401. The next prime is 6113133421. The reversal of 6113133416 is 6143313116.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6131030 + ... + 6132026.

It is an arithmetic number, because the mean of its divisors is an integer number (106099875).

Almost surely, 26113133416 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 6113133416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790392000).

6113133416 is an abundant number, since it is smaller than the sum of its proper divisors (7467650584).

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

6113133416 is a wasteful number, since it uses less digits than its factorization.

6113133416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 6113133416 is about 78186.5296326675. The cubic root of 6113133416 is about 1828.4705004073.

The spelling of 6113133416 in words is "six billion, one hundred thirteen million, one hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 19 26 29 38 52 58 76 104 107 116 152 214 232 247 377 428 494 551 754 856 988 997 1102 1391 1508 1976 1994 2033 2204 2782 3016 3103 3988 4066 4408 5564 6206 7163 7976 8132 11128 12412 12961 14326 16264 18943 24824 25922 26429 28652 28913 37886 40339 51844 52858 57304 57826 58957 75772 80678 103688 105716 106679 115652 117914 151544 161356 211432 213358 231304 235828 246259 322712 375869 426716 471656 492518 549347 751738 766441 853432 985036 1098694 1386827 1503476 1532882 1970072 2026901 2197388 2773654 3006952 3065764 3093691 4053802 4394776 5547308 6131528 6187382 7141511 8107604 11094616 12374764 14283022 16215208 24749528 26349713 28566044 40217983 52699426 57132088 58780129 80435966 105398852 117560258 160871932 210797704 235120516 321743864 470241032 764141677 1528283354 3056566708 6113133416