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2373874070400 = 2732527217531867
BaseRepresentation
bin100010100010110101111…
…010111011001110000000
322101221101100212111002200
4202202311322323032000
5302343143230223100
65014313115513200
7333335545445100
oct42426572731600
98357340774080
102373874070400
11835833031628
123240a5758800
13142b1730a171
1482c78d3b200
1541b3ae49e00
hex228b5ebb380

2373874070400 has 1728 divisors, whose sum is σ = 10635629968080. Its totient is φ = 500778270720.

The previous prime is 2373874070389. The next prime is 2373874070423. The reversal of 2373874070400 is 40704783732.

2373874070400 is a `hidden beast` number, since 237 + 3 + 8 + 7 + 4 + 0 + 7 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1271490267 + ... + 1271492133.

Almost surely, 22373874070400 is an apocalyptic number.

2373874070400 is a gapful number since it is divisible by the number (20) 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 2373874070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317814984040).

2373874070400 is an abundant number, since it is smaller than the sum of its proper divisors (8261755897680).

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

2373874070400 is a wasteful number, since it uses less digits than its factorization.

2373874070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 2373874070400 in words is "two trillion, three hundred seventy-three billion, eight hundred seventy-four million, seventy thousand, four hundred".