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64271829672 = 23336133114737
BaseRepresentation
bin111011110110111001…
…100100101010101000
320010220012210020102000
4323312321210222220
52023112042022142
645305344211000
74433500352421
oct736671445250
9203805706360
1064271829672
1125291854a06
1210558609a60
1360a379545b
143179d66648
151a127c014c
hexef6e64aa8

64271829672 has 128 divisors (see below), whose sum is σ = 182020195200. Its totient is φ = 21007641600.

The previous prime is 64271829667. The next prime is 64271829683. The reversal of 64271829672 is 27692817246.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4353888 + ... + 4368624.

It is an arithmetic number, because the mean of its divisors is an integer number (1422032775).

Almost surely, 264271829672 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 64271829672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010097600).

64271829672 is an abundant number, since it is smaller than the sum of its proper divisors (117748365528).

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

64271829672 is a wasteful number, since it uses less digits than its factorization.

64271829672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15144 (or 15134 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 64271829672 in words is "sixty-four billion, two hundred seventy-one million, eight hundred twenty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 331 366 488 549 662 732 993 1098 1324 1464 1647 1986 2196 2648 2979 3294 3972 4392 5958 6588 7944 8937 11916 13176 14737 17874 20191 23832 29474 35748 40382 44211 58948 60573 71496 80764 88422 117896 121146 132633 161528 176844 181719 242292 265266 353688 363438 397899 484584 530532 545157 726876 795798 898957 1061064 1090314 1453752 1591596 1797914 2180628 2696871 3183192 3595828 4361256 4877947 5393742 7191656 8090613 9755894 10787484 14633841 16181226 19511788 21574968 24271839 29267682 32362452 39023576 43901523 48543678 58535364 64724904 87803046 97087356 117070728 131704569 175606092 194174712 263409138 297554767 351212184 526818276 595109534 892664301 1053636552 1190219068 1785328602 2380438136 2677992903 3570657204 5355985806 7141314408 8033978709 10711971612 16067957418 21423943224 32135914836 64271829672