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13856323900 = 2252977391933
BaseRepresentation
bin11001110011110011…
…01011100100111100
31022202200010012000111
430321321223210330
5211334204331100
610210541035404
71000241544526
oct147171534474
938680105014
1013856323900
115970596261
122828555b64
1313ca915533
14956396a16
155617026ba
hex339e6b93c

13856323900 has 72 divisors (see below), whose sum is σ = 30435048560. Its totient is φ = 5475133440.

The previous prime is 13856323889. The next prime is 13856323903. The reversal of 13856323900 is 932365831.

It is a super-2 number, since 2×138563239002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13856323903) 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, 7167334 + ... + 7169266.

Almost surely, 213856323900 is an apocalyptic number.

13856323900 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 13856323900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217524280).

13856323900 is an abundant number, since it is smaller than the sum of its proper divisors (16578724660).

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

13856323900 is a wasteful number, since it uses less digits than its factorization.

13856323900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 13856323900 in words is "thirteen billion, eight hundred fifty-six million, three hundred twenty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 739 970 1478 1933 1940 2425 2956 3695 3866 4850 7390 7732 9665 9700 14780 18475 19330 36950 38660 48325 71683 73900 96650 143366 187501 193300 286732 358415 375002 716830 750004 937505 1428487 1433660 1792075 1875010 2856974 3584150 3750020 4687525 5713948 7142435 7168300 9375050 14284870 18750100 28569740 35712175 71424350 138563239 142848700 277126478 554252956 692816195 1385632390 2771264780 3464080975 6928161950 13856323900