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12902753900 = 2252238216833
BaseRepresentation
bin11000000010001000…
…00110011001101100
31020022012210210220002
430001010012121230
5202411101111100
65532154443432
7634512412211
oct140104063154
936265723802
1012902753900
1155212a4a83
122601133578
1312a81b382a
148a5893b08
15507b432d5
hex30110666c

12902753900 has 72 divisors (see below), whose sum is σ = 29256189984. Its totient is φ = 4929971200.

The previous prime is 12902753893. The next prime is 12902753917. The reversal of 12902753900 is 935720921.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884884 + ... + 1891716.

It is an arithmetic number, because the mean of its divisors is an integer number (406335972).

Almost surely, 212902753900 is an apocalyptic number.

12902753900 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 12902753900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628094992).

12902753900 is an abundant number, since it is smaller than the sum of its proper divisors (16353436084).

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

12902753900 is a wasteful number, since it uses less digits than its factorization.

12902753900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The spelling of 12902753900 in words is "twelve billion, nine hundred two million, seven hundred fifty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 821 1150 1642 2300 3284 4105 6833 8210 13666 16420 18883 20525 27332 34165 37766 41050 68330 75532 82100 94415 136660 157159 170825 188830 314318 341650 377660 472075 628636 683300 785795 944150 1571590 1888300 3143180 3928975 5609893 7857950 11219786 15715900 22439572 28049465 56098930 112197860 129027539 140247325 258055078 280494650 516110156 560989300 645137695 1290275390 2580550780 3225688475 6451376950 12902753900