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4012545264 = 2437133129633
BaseRepresentation
bin1110111100101010…
…1001010011110000
3101100122022102022120
43233022221103300
531204202422024
61502054434240
7201302033460
oct35712512360
911318272276
104012545264
111779a82712
1293b962980
134bc3c4950
142a0c9bba0
15187402479
hexef2a94f0

4012545264 has 160 divisors (see below), whose sum is σ = 13169823744. Its totient is φ = 1024081920.

The previous prime is 4012545263. The next prime is 4012545289. The reversal of 4012545264 is 4625452104.

It is a super-2 number, since 2×40125452642 = 32201038991297659392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012545263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120592 + ... + 150224.

Almost surely, 24012545264 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 4012545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584911872).

4012545264 is an abundant number, since it is smaller than the sum of its proper divisors (9157278480).

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

4012545264 is a wasteful number, since it uses less digits than its factorization.

4012545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29695 (or 29689 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 4012545264 is about 63344.6545811089. The cubic root of 4012545264 is about 1589.0588504868.

Adding to 4012545264 its reverse (4625452104), we get a palindrome (8637997368).

The spelling of 4012545264 in words is "four billion, twelve million, five hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 19344 22568 29633 33852 45136 59266 67704 88899 118532 135408 177798 207431 237064 355596 385229 414862 474128 622293 711192 770458 829724 918623 1155687 1244586 1422384 1540916 1659448 1837246 2311374 2489172 2696603 2755869 3081832 3318896 3674492 4622748 4978344 5393206 5511738 6163664 6430361 7348984 8089809 9245496 9956688 10786412 11023476 11942099 12860722 14697968 16179618 18490992 19291083 21572824 22046952 23884198 25721444 32359236 35826297 38582166 43145648 44093904 47768396 51442888 64718472 71652594 77164332 83594693 95536792 102885776 129436944 143305188 154328664 167189386 191073584 250784079 286610376 308657328 334378772 501568158 573220752 668757544 1003136316 1337515088 2006272632 4012545264