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37431414784 = 21230232
BaseRepresentation
bin100010110111000101…
…100001000000000000
310120121122210212222201
4202313011201000000
51103124420233114
625110141042544
72463404530111
oct426705410000
9116548725881
1037431414784
111496906aa45
127307856454
1336b6b8b55a
141b513c6208
15e9125e874
hex8b7161000

37431414784 has 39 divisors (see below), whose sum is σ = 74878460623. Its totient is φ = 18709516288.

The previous prime is 37431414763. The next prime is 37431414809. The reversal of 37431414784 is 48741413473.

The square root of 37431414784 is 193472.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×374314147842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12380697 + ... + 12383719.

Almost surely, 237431414784 is an apocalyptic number.

37431414784 is the 193472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37431414784

37431414784 is an abundant number, since it is smaller than the sum of its proper divisors (37447045839).

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

37431414784 is an frugal number, since it uses more digits than its factorization.

37431414784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 3025 counting only the distinct ones).

The product of its digits is 903168, while the sum is 46.

The spelling of 37431414784 in words is "thirty-seven billion, four hundred thirty-one million, four hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3023 4096 6046 12092 24184 48368 96736 193472 386944 773888 1547776 3095552 6191104 9138529 12382208 18277058 36554116 73108232 146216464 292432928 584865856 1169731712 2339463424 4678926848 9357853696 18715707392 37431414784