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19690993152 = 293215592741
BaseRepresentation
bin10010010101101011…
…001011011000000000
31212211022002002112200
4102111223023120000
5310311343240102
613013530153200
71264650452205
oct222553133000
955738062480
1019690993152
118395063666
123996582800
131b1a67534c
14d4b249cac
157a3a7d51c
hex495acb600

19690993152 has 120 divisors (see below), whose sum is σ = 56886738480. Its totient is φ = 6557061120.

The previous prime is 19690993109. The next prime is 19690993181. The reversal of 19690993152 is 25139909691.

It is a super-2 number, since 2×196909931522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7182502 + ... + 7185242.

It is an arithmetic number, because the mean of its divisors is an integer number (474056154).

Almost surely, 219690993152 is an apocalyptic number.

19690993152 is a gapful number since it is divisible by the number (12) 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 19690993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28443369240).

19690993152 is an abundant number, since it is smaller than the sum of its proper divisors (37195745328).

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

19690993152 is a wasteful number, since it uses less digits than its factorization.

19690993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 19690993152 in words is "nineteen billion, six hundred ninety million, nine hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 1559 2304 2741 3118 4608 4677 5482 6236 8223 9354 10964 12472 14031 16446 18708 21928 24669 24944 28062 32892 37416 43856 49338 49888 56124 65784 74832 87712 98676 99776 112248 131568 149664 175424 197352 199552 224496 263136 299328 350848 394704 399104 448992 526272 598656 701696 789408 798208 897984 1052544 1197312 1403392 1578816 1795968 2105088 2394624 3157632 3591936 4210176 4273219 6315264 7183872 8546438 12630528 12819657 17092876 25639314 34185752 38458971 51278628 68371504 76917942 102557256 136743008 153835884 205114512 273486016 307671768 410229024 546972032 615343536 820458048 1093944064 1230687072 1640916096 2187888128 2461374144 3281832192 4922748288 6563664384 9845496576 19690993152