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19962992448 = 2632715132789
BaseRepresentation
bin10010100101111000…
…110001011101000000
31220112020220002102200
4102211320301131000
5311341011224243
613100524113200
71304462431110
oct224570613500
956466802380
1019962992448
118514652773
123a51695800
131b61b1b189
14d75411040
157bc8aaad3
hex4a5e31740

19962992448 has 168 divisors, whose sum is σ = 65829728640. Its totient is φ = 5665766400.

The previous prime is 19962992429. The next prime is 19962992449. The reversal of 19962992448 is 84429926991.

19962992448 is a `hidden beast` number, since 19 + 96 + 2 + 9 + 92 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19962992449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592438 + ... + 625226.

Almost surely, 219962992448 is an apocalyptic number.

19962992448 is a gapful number since it is divisible by the number (18) 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 19962992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32914864320).

19962992448 is an abundant number, since it is smaller than the sum of its proper divisors (45866736192).

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

19962992448 is a wasteful number, since it uses less digits than its factorization.

19962992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32965 (or 32952 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 19962992448 in words is "nineteen billion, nine hundred sixty-two million, nine hundred ninety-two thousand, four hundred forty-eight".