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19934769400 = 23527137115427
BaseRepresentation
bin10010100100001101…
…000111000011111000
31220110021210012200121
4102210031013003320
5311311300110100
613054035143024
71304000513140
oct224415070370
956407705617
1019934769400
1184aa726337
123a44144a74
131b59018c50
14d71785920
157ba18351a
hex4a43470f8

19934769400 has 192 divisors, whose sum is σ = 57851297280. Its totient is φ = 6219763200.

The previous prime is 19934769377. The next prime is 19934769401. The reversal of 19934769400 is 496743991.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19934769401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284487 + ... + 1299913.

It is an arithmetic number, because the mean of its divisors is an integer number (301308840).

Almost surely, 219934769400 is an apocalyptic number.

19934769400 is a gapful number since it is divisible by the number (10) 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 19934769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28925648640).

19934769400 is an abundant number, since it is smaller than the sum of its proper divisors (37916527880).

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

19934769400 is a wasteful number, since it uses less digits than its factorization.

19934769400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534 (or 15525 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 19934769400 in words is "nineteen billion, nine hundred thirty-four million, seven hundred sixty-nine thousand, four hundred".