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2374900144512 = 273721943115413
BaseRepresentation
bin100010100011110011000…
…101000101100110000000
322102001000212121110011120
4202203303011011212000
5302402243414111022
65015003012112240
7333403145103600
oct42436305054600
98361025543146
102374900144512
1183620a244265
12324331305680
13142c4ba763cc
1482d35314c00
1541b9b07bd5c
hex228f3145980

2374900144512 has 384 divisors, whose sum is σ = 7742908454400. Its totient is φ = 641297018880.

The previous prime is 2374900144469. The next prime is 2374900144553. The reversal of 2374900144512 is 2154410094732.

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

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

It is a congruent number.

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, 154076518 + ... + 154091930.

It is an arithmetic number, because the mean of its divisors is an integer number (20163824100).

Almost surely, 22374900144512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2374900144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871454227200).

2374900144512 is an abundant number, since it is smaller than the sum of its proper divisors (5368008309888).

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

2374900144512 is a wasteful number, since it uses less digits than its factorization.

2374900144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15894 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2374900144512 in words is "two trillion, three hundred seventy-four billion, nine hundred million, one hundred forty-four thousand, five hundred twelve".