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10133762320 = 2451129479829
BaseRepresentation
bin10010111000000010…
…01111000100010000
3222011020110110112101
421130001033010100
5131223220343240
64353321410144
7506060362363
oct113401170420
928136413471
1010133762320
114330276690
121b69939954
13c56622586
146c1c220da
153e49d139a
hex25c04f110

10133762320 has 160 divisors (see below), whose sum is σ = 26676864000. Its totient is φ = 3546224640.

The previous prime is 10133762293. The next prime is 10133762341. The reversal of 10133762320 is 2326733101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12223666 + ... + 12224494.

It is an arithmetic number, because the mean of its divisors is an integer number (166730400).

Almost surely, 210133762320 is an apocalyptic number.

10133762320 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 10133762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338432000).

10133762320 is an abundant number, since it is smaller than the sum of its proper divisors (16543101680).

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

10133762320 is a wasteful number, since it uses less digits than its factorization.

10133762320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 10133762320 in words is "ten billion, one hundred thirty-three million, seven hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 479 580 638 829 880 958 1160 1276 1595 1658 1916 2320 2395 2552 3190 3316 3832 4145 4790 5104 5269 6380 6632 7664 8290 9119 9580 10538 12760 13264 13891 16580 18238 19160 21076 24041 25520 26345 27782 33160 36476 38320 42152 45595 48082 52690 55564 66320 69455 72952 84304 91190 96164 105380 111128 120205 138910 145904 152801 182380 192328 210760 222256 240410 264451 277820 305602 364760 384656 397091 421520 480820 528902 555640 611204 729520 764005 794182 961640 1057804 1111280 1222408 1322255 1528010 1588364 1923280 1985455 2115608 2444816 2644510 3056020 3176728 3970910 4231216 4368001 5289020 6112040 6353456 7941820 8736002 10578040 11515639 12224080 15883640 17472004 21156080 21840005 23031278 31767280 34944008 43680010 46062556 57578195 69888016 87360020 92125112 115156390 126672029 174720040 184250224 230312780 253344058 349440080 460625560 506688116 633360145 921251120 1013376232 1266720290 2026752464 2533440580 5066881160 10133762320