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4313513088 = 27341724473
BaseRepresentation
bin1000000010001101…
…01111110010000000
3102010121122011120000
410001012233302000
532313224404323
61552005320000
7211615153623
oct40106576200
912117564500
104313513088
111913958255
12a04706000
13539871111
142ccc43dba
151a3a52e43
hex1011afc80

4313513088 has 160 divisors (see below), whose sum is σ = 13592614860. Its totient is φ = 1353203712.

The previous prime is 4313513077. The next prime is 4313513093. The reversal of 4313513088 is 8803153134.

It can be written as a sum of positive squares in 2 ways, for example, as 3932794944 + 380718144 = 62712^2 + 19512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164020 + ... + 188492.

Almost surely, 24313513088 is an apocalyptic number.

4313513088 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 4313513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796307430).

4313513088 is an abundant number, since it is smaller than the sum of its proper divisors (9279101772).

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

4313513088 is a wasteful number, since it uses less digits than its factorization.

4313513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24516 (or 24495 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4313513088 is about 65677.3407500639. The cubic root of 4313513088 is about 1627.8349676859.

The spelling of 4313513088 in words is "four billion, three hundred thirteen million, five hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 24473 29376 44064 48946 58752 73419 88128 97892 146838 176256 195784 220257 293676 391568 416041 440514 587352 660771 783136 832082 881028 1174704 1248123 1321542 1566272 1664164 1762056 1982313 2349408 2496246 2643084 3132544 3328328 3524112 3744369 3964626 4698816 4992492 5286168 6656656 7048224 7488738 7929252 9397632 9984984 10572336 11233107 13313312 14096448 14977476 15858504 19969968 21144672 22466214 26626624 28192896 29954952 31717008 33699321 39939936 42289344 44932428 53253248 59909904 63434016 67398642 79879872 84578688 89864856 119819808 126868032 134797284 159759744 179729712 239639616 253736064 269594568 359459424 479279232 539189136 718918848 1078378272 1437837696 2156756544 4313513088