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109823936640 = 27351121573011
BaseRepresentation
bin110011001001000000…
…1000100100010000000
3101111110211010000211220
41212102001010202000
53244404411433030
6122241420035040
710635353026125
oct1462201044200
9344424100756
10109823936640
1142637827100
121934b992a80
13a482ba3ac2
14545ba7274c
152ccb91aa10
hex1992044880

109823936640 has 384 divisors, whose sum is σ = 387360308160. Its totient is φ = 26445619200.

The previous prime is 109823936633. The next prime is 109823936653. The reversal of 109823936640 is 46639328901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1098239366402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36472735 + ... + 36475745.

Almost surely, 2109823936640 is an apocalyptic number.

109823936640 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 109823936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193680154080).

109823936640 is an abundant number, since it is smaller than the sum of its proper divisors (277536371520).

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

109823936640 is a wasteful number, since it uses less digits than its factorization.

109823936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 109823936640 in words is "one hundred nine billion, eight hundred twenty-three million, nine hundred thirty-six thousand, six hundred forty".