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52960421376 = 293313272887
BaseRepresentation
bin110001010100101011…
…111110011000000000
312001200220101011022000
4301110223332120000
51331430331441001
640155113344000
73553260103602
oct612453763000
9161626334260
1052960421376
1120507860495
12a320408000
134cc01a7455
1427c5993172
15159e71ba86
hexc54afe600

52960421376 has 160 divisors (see below), whose sum is σ = 156939002880. Its totient is φ = 17634060288.

The previous prime is 52960421333. The next prime is 52960421387. The reversal of 52960421376 is 67312406925.

52960421376 is a `hidden beast` number, since 5 + 2 + 9 + 604 + 2 + 1 + 37 + 6 = 666.

It is a congruent number.

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, 18343005 + ... + 18345891.

It is an arithmetic number, because the mean of its divisors is an integer number (980868768).

Almost surely, 252960421376 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 52960421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78469501440).

52960421376 is an abundant number, since it is smaller than the sum of its proper divisors (103978581504).

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

52960421376 is a wasteful number, since it uses less digits than its factorization.

52960421376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 52960421376 in words is "fifty-two billion, nine hundred sixty million, four hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1327 1536 1728 2304 2654 2887 3456 3981 4608 5308 5774 6912 7962 8661 10616 11548 11943 13824 15924 17322 21232 23096 23886 25983 31848 34644 35829 42464 46192 47772 51966 63696 69288 71658 77949 84928 92384 95544 103932 127392 138576 143316 155898 169856 184768 191088 207864 254784 277152 286632 311796 339712 369536 382176 415728 509568 554304 573264 623592 679424 739072 764352 831456 1019136 1108608 1146528 1247184 1478144 1528704 1662912 2038272 2217216 2293056 2494368 3057408 3325824 3831049 4434432 4586112 4988736 6114816 6651648 7662098 9172224 9977472 11493147 13303296 15324196 18344448 19954944 22986294 30648392 34479441 39909888 45972588 61296784 68958882 91945176 103438323 122593568 137917764 183890352 206876646 245187136 275835528 367780704 413753292 490374272 551671056 735561408 827506584 980748544 1103342112 1471122816 1655013168 1961497088 2206684224 2942245632 3310026336 4413368448 5884491264 6620052672 8826736896 13240105344 17653473792 26480210688 52960421376