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19963998180072 = 23321977714020213
BaseRepresentation
bin1001000101000001110110…
…00001010001001011101000
32121200112120100200120010200
410202200323001101023220
510104042232013230242
6110243200102112200
74130231325424512
oct442407301211350
977615510616120
1019963998180072
1163a775856a951
1222a51a671b660
13b1a79b6666cb
144d0396a8cbb2
152494993b504c
hex12283b0512e8

19963998180072 has 48 divisors (see below), whose sum is σ = 54071899535940. Its totient is φ = 6654329100288.

The previous prime is 19963998180043. The next prime is 19963998180127. The reversal of 19963998180072 is 27008189936991.

19963998180072 is a `hidden beast` number, since 1 + 9 + 96 + 399 + 8 + 1 + 80 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19008675691236 + 955322488836 = 4359894^2 + 977406^2 .

It is a super-2 number, since 2×199639981800722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5586163 + ... + 8434050.

Almost surely, 219963998180072 is an apocalyptic number.

19963998180072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19963998180072 is an abundant number, since it is smaller than the sum of its proper divisors (34107901355868).

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

19963998180072 is a wasteful number, since it uses less digits than its factorization.

19963998180072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040002 (or 14039995 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 19963998180072 in words is "nineteen trillion, nine hundred sixty-three billion, nine hundred ninety-eight million, one hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 19777 39554 59331 79108 118662 158216 177993 237324 355986 474648 711972 1423944 14020213 28040426 42060639 56080852 84121278 112161704 126181917 168242556 252363834 336485112 504727668 1009455336 277277752501 554555505002 831833257503 1109111010004 1663666515006 2218222020008 2495499772509 3327333030012 4990999545018 6654666060024 9981999090036 19963998180072