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64144052752 = 24132293126387
BaseRepresentation
bin111011101111010010…
…001001001000010000
320010120022100111102111
4323233102021020100
52022331334142002
645244541355104
74430356311103
oct735722111020
9203508314374
1064144052752
112522671124a
1210521868a94
136083177800
143166dc473a
151a064803d7
hexeef489210

64144052752 has 120 divisors (see below), whose sum is σ = 143711159040. Its totient is φ = 27660971520.

The previous prime is 64144052729. The next prime is 64144052821. The reversal of 64144052752 is 25725044146.

It is a happy number.

It is a super-2 number, since 2×641440527522 (a number of 22 digits) contains 22 as substring.

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, 2417703 + ... + 2444089.

It is an arithmetic number, because the mean of its divisors is an integer number (1197592992).

Almost surely, 264144052752 is an apocalyptic number.

64144052752 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64144052752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71855579520).

64144052752 is an abundant number, since it is smaller than the sum of its proper divisors (79567106288).

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

64144052752 is a wasteful number, since it uses less digits than its factorization.

64144052752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26481 (or 26462 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

Adding to 64144052752 its reverse (25725044146), we get a palindrome (89869096898).

The spelling of 64144052752 in words is "sixty-four billion, one hundred forty-four million, fifty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 31 52 58 62 104 116 124 169 208 232 248 338 377 403 464 496 676 754 806 899 1352 1508 1612 1798 2704 3016 3224 3596 4901 5239 6032 6448 7192 9802 10478 11687 14384 19604 20956 23374 26387 39208 41912 46748 52774 78416 83824 93496 105548 151931 186992 211096 303862 343031 422192 607724 686062 765223 817997 1215448 1372124 1530446 1635994 2430896 2744248 3060892 3271988 4459403 5488496 6121784 6543976 8918806 9947899 10633961 12243568 13087952 17837612 19895798 21267922 23721913 35675224 39791596 42535844 47443826 71350448 79583192 85071688 94887652 129322687 138241493 159166384 170143376 189775304 258645374 276482986 308384869 379550608 517290748 552965972 616769738 1034581496 1105931944 1233539476 2069162992 2211863888 2467078952 4009003297 4934157904 8018006594 16036013188 32072026376 64144052752