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4113694992 = 24311231392437
BaseRepresentation
bin1111010100110010…
…0000000100010000
3101121200122100122210
43311030200010100
531411101214432
61520110432120
7203640554601
oct36514400420
911550570583
104113694992
111821089a30
12969802640
1350734b864
142b04abda8
151912328cc
hexf5320110

4113694992 has 160 divisors (see below), whose sum is σ = 12189219840. Its totient is φ = 1183311360.

The previous prime is 4113694967. The next prime is 4113694999. The reversal of 4113694992 is 2994963114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4113694999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686798 + ... + 1689234.

It is an arithmetic number, because the mean of its divisors is an integer number (76182624).

Almost surely, 24113694992 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 4113694992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094609920).

4113694992 is an abundant number, since it is smaller than the sum of its proper divisors (8075524848).

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

4113694992 is a wasteful number, since it uses less digits than its factorization.

4113694992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2615 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 4113694992 is about 64138.0931428430. The cubic root of 4113694992 is about 1602.3007254948.

The spelling of 4113694992 in words is "four billion, one hundred thirteen million, six hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 139 176 184 253 264 276 278 368 417 506 528 552 556 759 834 1012 1104 1112 1518 1529 1668 2024 2224 2437 3036 3058 3197 3336 4048 4587 4874 6072 6116 6394 6672 7311 9174 9591 9748 12144 12232 12788 14622 18348 19182 19496 24464 25576 26807 29244 35167 36696 38364 38992 51152 53614 56051 58488 70334 73392 76728 80421 105501 107228 112102 116976 140668 153456 160842 168153 211002 214456 224204 281336 321684 336306 338743 422004 428912 448408 562672 616561 643368 672612 677486 844008 896816 1016229 1233122 1286736 1345224 1354972 1688016 1849683 2032458 2466244 2690448 2709944 3699366 3726173 4064916 4932488 5419888 7398732 7452346 7791089 8129832 9864976 11178519 14797464 14904692 15582178 16259664 22357038 23373267 29594928 29809384 31164356 44714076 46746534 59618768 62328712 85701979 89428152 93493068 124657424 171403958 178856304 186986136 257105937 342807916 373972272 514211874 685615832 1028423748 1371231664 2056847496 4113694992