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4959955260 = 22325132973091
BaseRepresentation
bin1001001111010001…
…01110100100111100
3110210200000211111200
410213220232210330
540124222032020
62140101015500
7233624631651
oct44750564474
913720024450
104959955260
112115846887
12b650b4590
1361077a890
14350a39c28
151e0696590
hex127a2e93c

4959955260 has 144 divisors (see below), whose sum is σ = 16761457440. Its totient is φ = 1178795520.

The previous prime is 4959955237. The next prime is 4959955331. The reversal of 4959955260 is 625599594.

4959955260 is a `hidden beast` number, since 49 + 599 + 5 + 5 + 2 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4959955197 and 4959955206.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31315 + ... + 104405.

It is an arithmetic number, because the mean of its divisors is an integer number (116399010).

Almost surely, 24959955260 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 4959955260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380728720).

4959955260 is an abundant number, since it is smaller than the sum of its proper divisors (11801502180).

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

4959955260 is a wasteful number, since it uses less digits than its factorization.

4959955260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73148 (or 73143 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The square root of 4959955260 is about 70426.9498132640. The cubic root of 4959955260 is about 1705.3986689685.

The spelling of 4959955260 in words is "four billion, nine hundred fifty-nine million, nine hundred fifty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 73091 146182 219273 292364 365455 438546 657819 730910 877092 950183 1096365 1315638 1461820 1900366 2119639 2192730 2631276 2850549 3289095 3800732 4239278 4385460 4750915 5701098 6358917 6578190 8478556 8551647 9501830 10598195 11402196 12717834 13156380 14252745 17103294 19003660 19076751 21196390 25435668 27555307 28505490 31794585 34206588 38153502 42392780 42758235 55110614 57010980 63589170 76307004 82665921 85516470 95383755 110221228 127178340 137776535 165331842 171032940 190767510 247997763 275553070 330663684 381535020 413329605 495995526 551106140 826659210 991991052 1239988815 1653318420 2479977630 4959955260