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45213437152 = 2513148173387
BaseRepresentation
bin101010000110111011…
…100100110011100000
311022201000001120210101
4222012323210303200
51220044114442102
632434252512144
73160300606012
oct520673446340
9138630046711
1045213437152
11181a1896594
128919a7b654
1343571c1610
14228cb4c1b2
15129954de87
hexa86ee4ce0

45213437152 has 48 divisors (see below), whose sum is σ = 95927216112. Its totient is φ = 20853365760.

The previous prime is 45213437149. The next prime is 45213437179. The reversal of 45213437152 is 25173431254.

It is a super-2 number, since 2×452134371522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 579403 + ... + 652789.

It is an arithmetic number, because the mean of its divisors is an integer number (1998483669).

Almost surely, 245213437152 is an apocalyptic number.

It is an amenable number.

45213437152 is an abundant number, since it is smaller than the sum of its proper divisors (50713778960).

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

45213437152 is a wasteful number, since it uses less digits than its factorization.

45213437152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74891 (or 74883 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The spelling of 45213437152 in words is "forty-five billion, two hundred thirteen million, four hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1481 2962 5924 11848 19253 23696 38506 47392 73387 77012 146774 154024 293548 308048 587096 616096 954031 1174192 1908062 2348384 3816124 7632248 15264496 30528992 108686147 217372294 434744588 869489176 1412919911 1738978352 2825839822 3477956704 5651679644 11303359288 22606718576 45213437152