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60664000064 = 2617101552053
BaseRepresentation
bin111000011111110110…
…110010111001000000
312210120210000111121012
4320133312302321000
51443214441000224
643511344020052
74245211330643
oct703766627100
9183523014535
1060664000064
1123800279148
12b910301628
13594a1a3635
142d16b39a5a
1518a0bb380e
hexe1fdb2e40

60664000064 has 56 divisors (see below), whose sum is σ = 128723535288. Its totient is φ = 28265062400.

The previous prime is 60664000063. The next prime is 60664000073. The reversal of 60664000064 is 46000046606.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53634854464 + 7029145600 = 231592^2 + 83840^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (60664000063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166139 + ... + 385914.

Almost surely, 260664000064 is an apocalyptic number.

60664000064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

60664000064 is an abundant number, since it is smaller than the sum of its proper divisors (68059535224).

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

60664000064 is a wasteful number, since it uses less digits than its factorization.

60664000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552183 (or 552173 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 60664000064 in words is "sixty billion, six hundred sixty-four million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 1088 1616 1717 3232 3434 6464 6868 13736 27472 54944 109888 552053 1104106 2208212 4416424 8832848 9384901 17665696 18769802 35331392 37539604 55757353 75079208 111514706 150158416 223029412 300316832 446058824 600633664 892117648 947875001 1784235296 1895750002 3568470592 3791500004 7583000008 15166000016 30332000032 60664000064