Search a number
-
+
64124310657 = 31141595031597
BaseRepresentation
bin111011101110000110…
…110101010010000001
320010111221012111100210
4323232012311102001
52022311310420112
645242554304333
74430026435011
oct735606652201
9203457174323
1064124310657
1125216557770
12105171280a9
13607c0548b4
143164525c41
151a04880b3c
hexeee1b5481

64124310657 has 64 divisors (see below), whose sum is σ = 97420216320. Its totient is φ = 37175308800.

The previous prime is 64124310647. The next prime is 64124310667. The reversal of 64124310657 is 75601342146.

It is a happy number.

64124310657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64124310647) and next prime (64124310667).

It is not a de Polignac number, because 64124310657 - 27 = 64124310529 is a prime.

It is a super-2 number, since 2×641243106572 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64124310637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40152183 + ... + 40153779.

It is an arithmetic number, because the mean of its divisors is an integer number (1522190880).

Almost surely, 264124310657 is an apocalyptic number.

It is an amenable number.

64124310657 is a deficient number, since it is larger than the sum of its proper divisors (33295905663).

64124310657 is a wasteful number, since it uses less digits than its factorization.

64124310657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 64124310657 in words is "sixty-four billion, one hundred twenty-four million, three hundred ten thousand, six hundred fifty-seven".

Divisors: 1 3 11 33 41 59 123 177 451 503 649 1353 1509 1597 1947 2419 4791 5533 7257 16599 17567 20623 26609 29677 52701 61869 65477 79827 89031 94223 196431 226853 282669 326447 680559 720247 803291 979341 1036453 1216757 2160741 2409873 3109359 3650271 3863143 8836201 11589429 13384327 26508603 32934931 40152981 42494573 47394169 98804793 127483719 142182507 362284241 521335859 1086852723 1564007577 1943160929 5829482787 21374770219 64124310657