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64640396400 = 24352462111657
BaseRepresentation
bin111100001100110111…
…100010110001110000
320011211220022100220120
4330030313202301300
52024340420141100
645410112010240
74445564206116
oct741467426160
9204756270816
1064640396400
1125460900608
121063bb30980
136131c4c588
1431b2ca7ab6
151a34d250a0
hexf0cde2c70

64640396400 has 120 divisors (see below), whose sum is σ = 207127312944. Its totient is φ = 17232230400.

The previous prime is 64640396393. The next prime is 64640396453. The reversal of 64640396400 is 469304646.

64640396400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5539372 + ... + 5551028.

Almost surely, 264640396400 is an apocalyptic number.

64640396400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64640396400 is an abundant number, since it is smaller than the sum of its proper divisors (142486916544).

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

64640396400 is a wasteful number, since it uses less digits than its factorization.

64640396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16299 (or 16288 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 64640396400 in words is "sixty-four billion, six hundred forty million, three hundred ninety-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4621 9242 11657 13863 18484 23105 23314 27726 34971 36968 46210 46628 55452 58285 69315 69942 73936 92420 93256 110904 115525 116570 138630 139884 174855 184840 186512 221808 231050 233140 277260 279768 291425 346575 349710 369680 462100 466280 554520 559536 582850 693150 699420 874275 924200 932560 1109040 1165700 1386300 1398840 1748550 1848400 2331400 2772600 2797680 3497100 4662800 5545200 6994200 13988400 53866997 107733994 161600991 215467988 269334985 323201982 430935976 538669970 646403964 808004955 861871952 1077339940 1292807928 1346674925 1616009910 2154679880 2585615856 2693349850 3232019820 4040024775 4309359760 5386699700 6464039640 8080049550 10773399400 12928079280 16160099100 21546798800 32320198200 64640396400