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93953081040 = 24357134301881
BaseRepresentation
bin101011110000000001…
…0100011111011010000
322222111202022000212020
41113200002203323100
53014403442043130
6111054512331440
76534150004110
oct1274002437320
9288452260766
1093953081040
1136933079415
1216260843b80
138b23ac6aa0
144793d1b040
15269d434e10
hex15e00a3ed0

93953081040 has 160 divisors (see below), whose sum is σ = 358467223296. Its totient is φ = 19823063040.

The previous prime is 93953081009. The next prime is 93953081051. The reversal of 93953081040 is 4018035939.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 93953080983 and 93953081001.

It is a congruent number.

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, 2129101 + ... + 2172780.

Almost surely, 293953081040 is an apocalyptic number.

It is an amenable number.

93953081040 is an abundant number, since it is smaller than the sum of its proper divisors (264514142256).

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

93953081040 is a wasteful number, since it uses less digits than its factorization.

93953081040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301917 (or 4301911 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 93953081040 in words is "ninety-three billion, nine hundred fifty-three million, eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 4301881 8603762 12905643 17207524 21509405 25811286 30113167 34415048 43018810 51622572 55924453 60226334 64528215 68830096 86037620 90339501 103245144 111848906 120452668 129056430 150565835 167773359 172075240 180679002 206490288 223697812 240905336 258112860 279622265 301131670 335546718 344150480 361358004 391471171 447395624 451697505 481810672 516225720 559244530 602263340 671093436 722716008 782942342 838866795 894791248 903395010 1032451440 1118489060 1174413513 1204526680 1342186872 1445432016 1565884684 1677733590 1806790020 1957355855 2236978120 2348827026 2409053360 2684373744 3131769368 3355467180 3613580040 3914711710 4473956240 4697654052 5872067565 6263538736 6710934360 7227160080 7829423420 9395308104 11744135130 13421868720 15658846840 18790616208 23488270260 31317693680 46976540520 93953081040