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2479142725920 = 2536573036379
BaseRepresentation
bin100100000100111000011…
…010111110100100100000
322210000002201102021000000
4210010320122332210200
5311104241014212140
65134522532300000
7344053316322240
oct44047032764440
98700081367000
102479142725920
1187644248a593
12340583a71600
1314ca22520343
1487dc39d3b20
154474c9a7a30
hex241386be920

2479142725920 has 336 divisors, whose sum is σ = 10035940340160. Its totient is φ = 566661007872.

The previous prime is 2479142725897. The next prime is 2479142725937. The reversal of 2479142725920 is 295272419742.

2479142725920 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 1 + 42 + 7 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×24791427259202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 701710 + ... + 2334669.

It is an arithmetic number, because the mean of its divisors is an integer number (29868870060).

Almost surely, 22479142725920 is an apocalyptic number.

2479142725920 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 2479142725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017970170080).

2479142725920 is an abundant number, since it is smaller than the sum of its proper divisors (7556797614240).

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

2479142725920 is an equidigital number, since it uses as much as digits as its factorization.

2479142725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036419 (or 3036396 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2479142725920 in words is "two trillion, four hundred seventy-nine billion, one hundred forty-two million, seven hundred twenty-five thousand, nine hundred twenty".