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2517192020 = 225721185213
BaseRepresentation
bin1001011000001001…
…0100110101010100
320111102112121022002
42112002110311110
520123400121040
61053440054432
7116243531150
oct22602246524
96442477262
102517192020
111081986692
125a3004418
1331166b745
1419c448060
15eaec4a15
hex96094d54

2517192020 has 48 divisors (see below), whose sum is σ = 6069963648. Its totient is φ = 858936960.

The previous prime is 2517191987. The next prime is 2517192031. The reversal of 2517192020 is 202917152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13067 + ... + 72146.

It is an arithmetic number, because the mean of its divisors is an integer number (126457576).

Almost surely, 22517192020 is an apocalyptic number.

2517192020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2517192020 is an abundant number, since it is smaller than the sum of its proper divisors (3552771628).

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

2517192020 is a wasteful number, since it uses less digits than its factorization.

2517192020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85440 (or 85438 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 2517192020 is about 50171.6256463751. The cubic root of 2517192020 is about 1360.3127920968.

The spelling of 2517192020 in words is "two billion, five hundred seventeen million, one hundred ninety-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 4220 5908 7385 14770 29540 85213 170426 340852 426065 596491 852130 1192982 1704260 2385964 2982455 5964910 11929820 17979943 35959886 71919772 89899715 125859601 179799430 251719202 359598860 503438404 629298005 1258596010 2517192020