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64646172272 = 241117149145009
BaseRepresentation
bin111100001101001101…
…100100111001110000
320011212022011210220202
4330031031210321300
52024343410003042
645410435454332
74445664253313
oct741515447160
9204768153822
1064646172272
1125464096060
1210641a573a8
1361331c2556
1431b396c97a
151a355b6632
hexf0d364e70

64646172272 has 80 divisors (see below), whose sum is σ = 145648044000. Its totient is φ = 27470315520.

The previous prime is 64646172271. The next prime is 64646172287. The reversal of 64646172272 is 27227164646.

64646172272 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 2×646461722722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64646172271) 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, 373304 + ... + 518312.

It is an arithmetic number, because the mean of its divisors is an integer number (1820600550).

Almost surely, 264646172272 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 64646172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72824022000).

64646172272 is an abundant number, since it is smaller than the sum of its proper divisors (81001871728).

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

64646172272 is a wasteful number, since it uses less digits than its factorization.

64646172272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145194 (or 145188 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 47.

The spelling of 64646172272 in words is "sixty-four billion, six hundred forty-six million, one hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 149 176 187 272 298 374 596 748 1192 1496 1639 2384 2533 2992 3278 5066 6556 10132 13112 20264 26224 27863 40528 55726 111452 145009 222904 290018 445808 580036 1160072 1595099 2320144 2465153 3190198 4930306 6380396 9860612 12760792 19721224 21606341 25521584 27116683 39442448 43212682 54233366 86425364 108466732 172850728 216933464 237669751 345701456 367307797 433866928 475339502 734615594 950679004 1469231188 1901358008 2938462376 3802716016 4040385767 5876924752 8080771534 16161543068 32323086136 64646172272