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64147719076 = 22727922292
BaseRepresentation
bin111011101111100000…
…001000001110100100
320010120120020202200021
4323233200020032210
52022333304002301
645245152124524
74430432421100
oct735740101644
9203516222607
1064147719076
1125228795871
1210522b36744
136083b5c52c
14316769a900
151a069568a1
hexeef8083a4

64147719076 has 81 divisors (see below), whose sum is σ = 132840423009. Its totient is φ = 27025348896.

The previous prime is 64147719047. The next prime is 64147719137. The reversal of 64147719076 is 67091774146.

The square root of 64147719076 is 253274.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59744069476 + 4403649600 = 244426^2 + 66360^2 .

It is a super-2 number, since 2×641477190762 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280120930 + ... + 280121158.

Almost surely, 264147719076 is an apocalyptic number.

64147719076 is the 253274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64147719076

64147719076 is an abundant number, since it is smaller than the sum of its proper divisors (68692703933).

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

64147719076 is an equidigital number, since it uses as much as digits as its factorization.

64147719076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 64147719076 in words is "sixty-four billion, one hundred forty-seven million, seven hundred nineteen thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 229 316 458 553 916 1106 1603 2212 3206 3871 6241 6412 7742 11221 12482 15484 18091 22442 24964 36182 43687 44884 52441 72364 87374 104882 126637 174748 209764 253274 305809 367087 506548 611618 734174 886459 1223236 1429189 1468348 1772918 2569609 2858378 3545836 4142839 5139218 5716756 8285678 10004323 10278436 16571356 20008646 28999873 40017292 57999746 70030261 115999492 140060522 202999111 280121044 327284281 405998222 654568562 811996444 1309137124 2290989967 4581979934 9163959868 16036929769 32073859538 64147719076