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16993147440 = 2435224331567
BaseRepresentation
bin11111101001101111…
…01101101000110000
31121212021121022222010
433310313231220300
5234300221204230
611450114042520
71141051240623
oct176467555060
947767538863
1016993147440
117230209205
123362b79440
1317aa764339
14b72c17dba
15696cc19b0
hex3f4deda30

16993147440 has 80 divisors (see below), whose sum is σ = 52703912448. Its totient is φ = 4529342208.

The previous prime is 16993147433. The next prime is 16993147441. The reversal of 16993147440 is 4474139961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16993147440.

It is not an unprimeable number, because it can be changed into a prime (16993147441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522537 + ... + 554103.

Almost surely, 216993147440 is an apocalyptic number.

16993147440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16993147440 is an abundant number, since it is smaller than the sum of its proper divisors (35710765008).

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

16993147440 is a wasteful number, since it uses less digits than its factorization.

16993147440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33826 (or 33820 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 16993147440 in words is "sixteen billion, nine hundred ninety-three million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2243 4486 6729 8972 11215 13458 17944 22430 26916 31567 33645 35888 44860 53832 63134 67290 89720 94701 107664 126268 134580 157835 179440 189402 252536 269160 315670 378804 473505 505072 538320 631340 757608 947010 1262680 1515216 1894020 2525360 3788040 7576080 70804781 141609562 212414343 283219124 354023905 424828686 566438248 708047810 849657372 1062071715 1132876496 1416095620 1699314744 2124143430 2832191240 3398629488 4248286860 5664382480 8496573720 16993147440