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64147257024 = 2631275574723
BaseRepresentation
bin111011101111011110…
…010111011011000000
320010120112101021212020
4323233132113123000
52022333144211044
645245134201440
74430425455024
oct735736273300
9203515337766
1064147257024
11252284aa704
1210522953280
136083a2a126
1431675ba384
151a068b4a19
hexeef7976c0

64147257024 has 112 divisors (see below), whose sum is σ = 171402743808. Its totient is φ = 21171483648.

The previous prime is 64147257019. The next prime is 64147257029. The reversal of 64147257024 is 42075274146.

It is an interprime number because it is at equal distance from previous prime (64147257019) and next prime (64147257029).

It is a super-2 number, since 2×641472570242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64147257029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13579527 + ... + 13584249.

Almost surely, 264147257024 is an apocalyptic number.

64147257024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64147257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85701371904).

64147257024 is an abundant number, since it is smaller than the sum of its proper divisors (107255486784).

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

64147257024 is a wasteful number, since it uses less digits than its factorization.

64147257024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 64147257024 in words is "sixty-four billion, one hundred forty-seven million, two hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 557 762 1016 1114 1524 1671 2032 2228 3048 3342 4064 4456 4723 6096 6684 8128 8912 9446 12192 13368 14169 17824 18892 24384 26736 28338 35648 37784 53472 56676 70739 75568 106944 113352 141478 151136 212217 226704 282956 302272 424434 453408 565912 599821 848868 906816 1131824 1199642 1697736 1799463 2263648 2399284 2630711 3395472 3598926 4527296 4798568 5261422 6790944 7197852 7892133 9597136 10522844 13581888 14395704 15784266 19194272 21045688 28791408 31568532 38388544 42091376 57582816 63137064 84182752 115165632 126274128 168365504 252548256 334100297 505096512 668200594 1002300891 1336401188 2004601782 2672802376 4009203564 5345604752 8018407128 10691209504 16036814256 21382419008 32073628512 64147257024