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19936929040 = 2457374492143
BaseRepresentation
bin10010100100010101…
…010110010100010000
31220110102211221011021
4102210111112110100
5311312323212130
613054153325224
71304025046360
oct224425262420
956412757137
1019936929040
118500970966
123a44a06814
131b595c3c42
14d71b889a0
157ba45d37a
hex4a4556510

19936929040 has 160 divisors (see below), whose sum is σ = 54553651200. Its totient is φ = 6632865792.

The previous prime is 19936929031. The next prime is 19936929049. The reversal of 19936929040 is 4092963991.

It is an interprime number because it is at equal distance from previous prime (19936929031) and next prime (19936929049).

It is a super-2 number, since 2×199369290402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19936929049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9302209 + ... + 9304351.

It is an arithmetic number, because the mean of its divisors is an integer number (340960320).

Almost surely, 219936929040 is an apocalyptic number.

19936929040 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 19936929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276825600).

19936929040 is an abundant number, since it is smaller than the sum of its proper divisors (34616722160).

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

19936929040 is a wasteful number, since it uses less digits than its factorization.

19936929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 52.

The spelling of 19936929040 in words is "nineteen billion, nine hundred thirty-six million, nine hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 449 518 560 592 740 898 1036 1295 1480 1796 2072 2143 2245 2590 2960 3143 3592 4144 4286 4490 5180 6286 7184 8572 8980 10360 10715 12572 15001 15715 16613 17144 17960 20720 21430 25144 30002 31430 33226 34288 35920 42860 50288 60004 62860 66452 75005 79291 83065 85720 116291 120008 125720 132904 150010 158582 166130 171440 232582 240016 251440 265808 300020 317164 332260 396455 465164 555037 581455 600040 634328 664520 792910 930328 962207 1110074 1162910 1200080 1268656 1329040 1585820 1860656 1924414 2220148 2325820 2775185 3171640 3848828 4440296 4651640 4811035 5550370 6343280 6735449 7697656 8880592 9303280 9622070 11100740 13470898 15395312 19244140 22201480 26941796 33677245 35601659 38488280 44402960 53883592 67354490 71203318 76976560 107767184 134708980 142406636 178008295 249211613 269417960 284813272 356016590 498423226 538835920 569626544 712033180 996846452 1246058065 1424066360 1993692904 2492116130 2848132720 3987385808 4984232260 9968464520 19936929040