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1830625245408 = 25337515378729
BaseRepresentation
bin11010101000111001110…
…001000111100011100000
320111000011102100211022010
4122220321301013203200
5214443110030323113
63520551100112520
7246154412562561
oct32507161074340
96430142324263
101830625245408
11646400254863
12256954835740
131038200049ab
1464861c92168
15329434da1c3
hex1aa39c478e0

1830625245408 has 48 divisors (see below), whose sum is σ = 4935266718480. Its totient is φ = 593716294656.

The previous prime is 1830625245403. The next prime is 1830625245409. The reversal of 1830625245408 is 8045425260381.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830625245403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257685813 + ... + 257692916.

It is an arithmetic number, because the mean of its divisors is an integer number (102818056635).

Almost surely, 21830625245408 is an apocalyptic number.

It is an amenable number.

1830625245408 is an abundant number, since it is smaller than the sum of its proper divisors (3104641473072).

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

1830625245408 is a wasteful number, since it uses less digits than its factorization.

1830625245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515378779 (or 515378771 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 1830625245408 in words is "one trillion, eight hundred thirty billion, six hundred twenty-five million, two hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 515378729 1030757458 1546136187 2061514916 3092272374 4123029832 6184544748 8246059664 12369089496 16492119328 19069012973 24738178992 38138025946 49476357984 57207038919 76276051892 114414077838 152552103784 228828155676 305104207568 457656311352 610208415136 915312622704 1830625245408