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12572572760 = 2351131072207
BaseRepresentation
bin10111011010110001…
…00011110001011000
31012110012111212111222
423231120203301120
5201222034312020
65435321511212
7623363051036
oct135530436130
935405455458
1012572572760
115371987000
12252a642508
131254979487
14873aa5556
154d8b71b25
hex2ed623c58

12572572760 has 128 divisors (see below), whose sum is σ = 31420016640. Its totient is φ = 4527064960.

The previous prime is 12572572723. The next prime is 12572572799. The reversal of 12572572760 is 6727527521.

12572572760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 5695577 + ... + 5697783.

It is an arithmetic number, because the mean of its divisors is an integer number (245468880).

Almost surely, 212572572760 is an apocalyptic number.

12572572760 is a gapful number since it is divisible by the number (10) 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 12572572760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710008320).

12572572760 is an abundant number, since it is smaller than the sum of its proper divisors (18847443880).

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

12572572760 is a wasteful number, since it uses less digits than its factorization.

12572572760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 12572572760 in words is "twelve billion, five hundred seventy-two million, five hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 121 214 220 242 428 440 484 535 605 856 968 1070 1177 1210 1331 2140 2207 2354 2420 2662 4280 4414 4708 4840 5324 5885 6655 8828 9416 10648 11035 11770 12947 13310 17656 22070 23540 24277 25894 26620 44140 47080 48554 51788 53240 64735 88280 97108 103576 121385 129470 142417 194216 236149 242770 258940 267047 284834 472298 485540 517880 534094 569668 712085 944596 971080 1068188 1139336 1180745 1335235 1424170 1889192 2136376 2361490 2597639 2670470 2848340 2937517 4722980 5195278 5340940 5696680 5875034 9445960 10390556 10681880 11750068 12988195 14687585 20781112 23500136 25976390 28574029 29375170 51952780 57148058 58750340 103905560 114296116 117500680 142870145 228592232 285740290 314314319 571480580 628628638 1142961160 1257257276 1571571595 2514514552 3143143190 6286286380 12572572760