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2542374756 = 2233109121577
BaseRepresentation
bin1001011110001001…
…1000111101100100
320120011221000112000
42113202120331210
520201321443011
61100135525300
7120000554205
oct22742307544
96504830460
102542374756
111095116869
125ab529830
13316947b7c
141a19215ac
15ed2eb356
hex97898f64

2542374756 has 48 divisors (see below), whose sum is σ = 6597689280. Its totient is φ = 846642240.

The previous prime is 2542374749. The next prime is 2542374797. The reversal of 2542374756 is 6574732452.

2542374756 is a `hidden beast` number, since 2 + 542 + 37 + 4 + 75 + 6 = 666.

2542374756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107040 + ... + 128616.

It is an arithmetic number, because the mean of its divisors is an integer number (137451860).

Almost surely, 22542374756 is an apocalyptic number.

It is an amenable number.

2542374756 is an abundant number, since it is smaller than the sum of its proper divisors (4055314524).

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

2542374756 is a wasteful number, since it uses less digits than its factorization.

2542374756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22681 (or 22673 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 2542374756 is about 50421.9669985216. The cubic root of 2542374756 is about 1364.8340723318.

The spelling of 2542374756 in words is "two billion, five hundred forty-two million, three hundred seventy-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1091 2182 3273 4364 6546 9819 13092 19638 21577 29457 39276 43154 58914 64731 86308 117828 129462 194193 258924 388386 582579 776772 1165158 2330316 23540507 47081014 70621521 94162028 141243042 211864563 282486084 423729126 635593689 847458252 1271187378 2542374756