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64371895002 = 23231237432339
BaseRepresentation
bin111011111100110111…
…010010101011011010
320011011012002002020100
4323330313102223122
52023313201120002
645323321040230
74436124036162
oct737467225332
9204135062210
1064371895002
1125333290528
1210586026076
1360bb42c8cc
1431893735a2
151a1b48911c
hexefcdd2ada

64371895002 has 144 divisors (see below), whose sum is σ = 151518612960. Its totient is φ = 19725612480.

The previous prime is 64371895001. The next prime is 64371895043. The reversal of 64371895002 is 20059817346.

64371895002 is a `hidden beast` number, since 64 + 3 + 7 + 1 + 89 + 500 + 2 = 666.

It is a super-2 number, since 2×643718950022 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64371895001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27519949 + ... + 27522287.

It is an arithmetic number, because the mean of its divisors is an integer number (1052212590).

It is a 1-persistent number, because it is pandigital, but 2⋅64371895002 = 128743790004 is not.

Almost surely, 264371895002 is an apocalyptic number.

64371895002 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64371895002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75759306480).

64371895002 is an abundant number, since it is smaller than the sum of its proper divisors (87146717958).

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

64371895002 is a wasteful number, since it uses less digits than its factorization.

64371895002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 643718 and 95002, that added together give a triangular number (738720 = T1215).

The spelling of 64371895002 in words is "sixty-four billion, three hundred seventy-one million, eight hundred ninety-five thousand, two".

Divisors: 1 2 3 6 9 18 31 37 43 62 74 86 93 111 129 186 222 258 279 333 387 558 666 774 961 1147 1333 1591 1922 2294 2339 2666 2883 3182 3441 3999 4678 4773 5766 6882 7017 7998 8649 9546 10323 11997 14034 14319 17298 20646 21051 23994 28638 35557 41323 42102 49321 71114 72509 82646 86543 98642 100577 106671 123969 145018 147963 173086 201154 213342 217527 247938 259629 295926 301731 320013 371907 435054 443889 519258 603462 640026 652581 743814 778887 887778 905193 1305162 1528951 1557774 1810386 2247779 2682833 3057902 3117887 3721349 4495558 4586853 5365666 6235774 6743337 7442698 8048499 9173706 9353661 11164047 13486674 13760559 16096998 18707322 20230011 22328094 24145497 27521118 28060983 33492141 40460022 48290994 56121966 66984282 83167823 96654497 115361819 166335646 193308994 230723638 249503469 289963491 346085457 499006938 579926982 692170914 748510407 869890473 1038256371 1497020814 1739780946 2076512742 3576216389 7152432778 10728649167 21457298334 32185947501 64371895002