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19921010900 = 2252737769151
BaseRepresentation
bin10010100011011000…
…101000000011010100
31220102022220012120112
4102203120220003110
5311244234322100
613052424222152
71303442540660
oct224330500324
956368805515
1019921010900
1184a298937a
123a3b60a958
131b5620c71b
14d6da038a0
157b8d66b35
hex4a36280d4

19921010900 has 72 divisors (see below), whose sum is σ = 50739419136. Its totient is φ = 6645456000.

The previous prime is 19921010897. The next prime is 19921010909. The reversal of 19921010900 is 901012991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19921010909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358676 + ... + 410475.

Almost surely, 219921010900 is an apocalyptic number.

19921010900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19921010900 is an abundant number, since it is smaller than the sum of its proper divisors (30818408236).

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

19921010900 is a wasteful number, since it uses less digits than its factorization.

19921010900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769209 (or 769202 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 32.

The spelling of 19921010900 in words is "nineteen billion, nine hundred twenty-one million, ten thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 5180 6475 12950 25900 769151 1538302 3076604 3845755 5384057 7691510 10768114 15383020 19228775 21536228 26920285 28458587 38457550 53840570 56917174 76915100 107681140 113834348 134601425 142292935 199210109 269202850 284585870 398420218 538405700 569171740 711464675 796840436 996050545 1422929350 1992101090 2845858700 3984202180 4980252725 9960505450 19921010900