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10145273740 = 225772466241
BaseRepresentation
bin10010111001011010…
…01001011110001100
3222012001010022020021
421130231021132030
5131234142224430
64354412231524
7506260255360
oct113455113614
928161108207
1010145273740
114336819358
121b7176b5a4
13c58b23074
146c357b2a0
153e5a0707a
hex25cb4978c

10145273740 has 24 divisors (see below), whose sum is σ = 24348657312. Its totient is φ = 3478379520.

The previous prime is 10145273717. The next prime is 10145273779. The reversal of 10145273740 is 4737254101.

10145273740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10145273696 and 10145273705.

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 7 ways as a sum of consecutive naturals, for example, 36232981 + ... + 36233260.

It is an arithmetic number, because the mean of its divisors is an integer number (1014527388).

Almost surely, 210145273740 is an apocalyptic number.

10145273740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145273740 is an abundant number, since it is smaller than the sum of its proper divisors (14203383572).

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

10145273740 is a wasteful number, since it uses less digits than its factorization.

10145273740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72466257 (or 72466255 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 10145273740 in words is "ten billion, one hundred forty-five million, two hundred seventy-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 72466241 144932482 289864964 362331205 507263687 724662410 1014527374 1449324820 2029054748 2536318435 5072636870 10145273740