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64263630340 = 225721318232767
BaseRepresentation
bin111011110110011010…
…010010111000000100
320010212122100200001001
4323312122102320010
52023102442132330
645304452343044
74433340562600
oct736632227004
9203778320031
1064263630340
11252881646a8
1210555914a84
1360a1b84390
143178c30500
151a11c009ca
hexef6692e04

64263630340 has 144 divisors (see below), whose sum is σ = 169216653312. Its totient is φ = 20319876864.

The previous prime is 64263630313. The next prime is 64263630349. The reversal of 64263630340 is 4303636246.

64263630340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64263630340.

It is not an unprimeable number, because it can be changed into a prime (64263630349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23223637 + ... + 23226403.

It is an arithmetic number, because the mean of its divisors is an integer number (1175115648).

Almost surely, 264263630340 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 64263630340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84608326656).

64263630340 is an abundant number, since it is smaller than the sum of its proper divisors (104953022972).

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

64263630340 is a wasteful number, since it uses less digits than its factorization.

64263630340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 37.

The spelling of 64263630340 in words is "sixty-four billion, two hundred sixty-three million, six hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 1823 2548 2767 3185 3646 5534 6370 7292 9115 11068 12740 12761 13835 18230 19369 23699 25522 27670 35971 36460 38738 47398 51044 55340 63805 71942 77476 89327 94796 96845 118495 127610 135583 143884 165893 178654 179855 193690 236990 251797 255220 271166 331786 357308 359710 387380 446635 473980 503594 542332 663572 677915 719420 829465 893270 1007188 1161251 1258985 1355830 1658930 1762579 1786540 2322502 2517970 2711660 3317860 3525158 4645004 5035940 5044241 5806255 7050316 8812895 10088482 11612510 17625790 20176964 23225020 25221205 35251580 35309687 50442410 65575133 70619374 100884820 131150266 141238748 176548435 247167809 262300532 327875665 353096870 459025931 494335618 655751330 706193740 918051862 988671236 1235839045 1311502660 1836103724 2295129655 2471678090 3213181517 4590259310 4943356180 6426363034 9180518620 12852726068 16065907585 32131815170 64263630340