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101804473680 = 243572133121481
BaseRepresentation
bin101111011010000000…
…1001111110101010000
3100201202221002002210020
41132310001033311100
53131443421124210
6114433543103440
710232544514500
oct1366401176520
9321687062706
10101804473680
113a1a1a75968
1217892141b80
1397a5607b50
144cda97da00
1529ac878770
hex17b404fd50

101804473680 has 480 divisors, whose sum is σ = 408131877888. Its totient is φ = 20785766400.

The previous prime is 101804473619. The next prime is 101804473681. The reversal of 101804473680 is 86374408101.

It is a super-2 number, since 2×1018044736802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101804473681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4728540 + ... + 4750020.

Almost surely, 2101804473680 is an apocalyptic number.

101804473680 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 101804473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204065938944).

101804473680 is an abundant number, since it is smaller than the sum of its proper divisors (306327404208).

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

101804473680 is a wasteful number, since it uses less digits than its factorization.

101804473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21555 (or 21542 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 101804473680 in words is "one hundred one billion, eight hundred four million, four hundred seventy-three thousand, six hundred eighty".