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19972000400 = 2452114539091
BaseRepresentation
bin10010100110011011…
…001000101010010000
31220112212211202000112
4102212123020222100
5311400313003100
613101445140452
71304632126262
oct224633105220
956485752015
1019972000400
118519745560
123a546ba728
131b63953321
14d766b7b32
157bd589b35
hex4a66c8a90

19972000400 has 60 divisors (see below), whose sum is σ = 52344808944. Its totient is φ = 7262544000.

The previous prime is 19972000393. The next prime is 19972000417. The reversal of 19972000400 is 400027991.

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, 2265146 + ... + 2273945.

Almost surely, 219972000400 is an apocalyptic number.

19972000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19972000400 is an abundant number, since it is smaller than the sum of its proper divisors (32372808544).

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

19972000400 is a wasteful number, since it uses less digits than its factorization.

19972000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539120 (or 4539109 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 19972000400 in words is "nineteen billion, nine hundred seventy-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 4539091 9078182 18156364 22695455 36312728 45390910 49930001 72625456 90781820 99860002 113477275 181563640 199720004 226954550 249650005 363127280 399440008 453909100 499300010 798880016 907818200 998600020 1248250025 1815636400 1997200040 2496500050 3994400080 4993000100 9986000200 19972000400