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64700140400 = 2452749946307
BaseRepresentation
bin111100010000011011…
…011100101101110000
320012000001201200021022
4330100123130231300
52030001213443100
645420044315012
74450221055640
oct742033345560
9205001650238
1064700140400
11254915a7115
1210657b42a68
136141439b5c
1431babba520
151a3a1c6e85
hexf106dcb70

64700140400 has 120 divisors (see below), whose sum is σ = 178007952000. Its totient is φ = 22137972480.

The previous prime is 64700140333. The next prime is 64700140471. The reversal of 64700140400 is 404100746.

64700140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×647001404002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64700140400.

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, 1374047 + ... + 1420353.

It is an arithmetic number, because the mean of its divisors is an integer number (1483399600).

Almost surely, 264700140400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64700140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89003976000).

64700140400 is an abundant number, since it is smaller than the sum of its proper divisors (113307811600).

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

64700140400 is a wasteful number, since it uses less digits than its factorization.

64700140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46831 (or 46820 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 64700140400 in words is "sixty-four billion, seven hundred million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 499 560 700 998 1400 1996 2495 2800 3493 3992 4990 6986 7984 9980 12475 13972 17465 19960 24950 27944 34930 39920 46307 49900 55888 69860 87325 92614 99800 139720 174650 185228 199600 231535 279440 324149 349300 370456 463070 648298 698600 740912 926140 1157675 1296596 1397200 1620745 1852280 2315350 2593192 3241490 3704560 4630700 5186384 6482980 8103725 9261400 12965960 16207450 18522800 23107193 25931920 32414900 46214386 64829800 92428772 115535965 129659600 161750351 184857544 231071930 323500702 369715088 462143860 577679825 647001404 808751755 924287720 1155359650 1294002808 1617503510 1848575440 2310719300 2588005616 3235007020 4043758775 4621438600 6470014040 8087517550 9242877200 12940028080 16175035100 32350070200 64700140400