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4105913088 = 283371311103
BaseRepresentation
bin1111010010111011…
…0100001100000000
3101121010222222220010
43310232310030000
531402103204323
61515231544520
7203514454044
oct36456641400
911533888803
104105913088
111817754302
1296708b140
13505855794
142ad444024
151906e6c93
hexf4bb4300

4105913088 has 144 divisors (see below), whose sum is σ = 11318985216. Its totient is φ = 1320284160.

The previous prime is 4105913039. The next prime is 4105913101. The reversal of 4105913088 is 8803195014.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3721945 + ... + 3723047.

It is an arithmetic number, because the mean of its divisors is an integer number (78604064).

Almost surely, 24105913088 is an apocalyptic number.

4105913088 is a gapful number since it is divisible by the number (48) 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 4105913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659492608).

4105913088 is an abundant number, since it is smaller than the sum of its proper divisors (7213072128).

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

4105913088 is a wasteful number, since it uses less digits than its factorization.

4105913088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 4105913088 is about 64077.3991981572. The cubic root of 4105913088 is about 1601.2897267654.

The spelling of 4105913088 in words is "four billion, one hundred five million, nine hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 131 148 192 222 256 262 296 384 393 444 524 592 768 786 888 1048 1103 1184 1572 1776 2096 2206 2368 3144 3309 3552 4192 4412 4736 4847 6288 6618 7104 8384 8824 9472 9694 12576 13236 14208 14541 16768 17648 19388 25152 26472 28416 29082 33536 35296 38776 40811 50304 52944 58164 70592 77552 81622 100608 105888 116328 122433 141184 144493 155104 163244 211776 232656 244866 282368 288986 310208 326488 423552 433479 465312 489732 577972 620416 652976 847104 866958 930624 979464 1155944 1240832 1305952 1733916 1861248 1958928 2311888 2611904 3467832 3722496 3917856 4623776 5223808 5346241 6935664 7835712 9247552 10447616 10692482 13871328 15671424 16038723 18495104 21384964 27742656 31342848 32077446 36990208 42769928 55485312 64154892 85539856 110970624 128309784 171079712 256619568 342159424 513239136 684318848 1026478272 1368637696 2052956544 4105913088