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66456226564 = 22713317380677
BaseRepresentation
bin111101111001000110…
…011000101100000100
320100112110010002121121
4331321012120230010
52042100243222224
650310215323324
74541563414450
oct757106305404
9210473102547
1066456226564
11262028976a2
1210a68080544
1363611c2ab0
143306101660
151ade458be4
hexf79198b04

66456226564 has 96 divisors (see below), whose sum is σ = 149779675136. Its totient is φ = 25093463040.

The previous prime is 66456226553. The next prime is 66456226567. The reversal of 66456226564 is 46562265466.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (66456226567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 783394 + ... + 864070.

Almost surely, 266456226564 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 66456226564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889837568).

66456226564 is an abundant number, since it is smaller than the sum of its proper divisors (83323448572).

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

66456226564 is a wasteful number, since it uses less digits than its factorization.

66456226564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80805 (or 80803 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 52.

The spelling of 66456226564 in words is "sixty-six billion, four hundred fifty-six million, two hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 73 91 124 146 182 217 292 364 403 434 511 806 868 949 1022 1612 1898 2044 2263 2821 3796 4526 5642 6643 9052 11284 13286 15841 26572 29419 31682 58838 63364 80677 117676 161354 205933 322708 411866 564739 823732 1048801 1129478 2097602 2258956 2500987 4195204 5001974 5889421 7341607 10003948 11778842 14683214 17506909 23557684 29366428 32512831 35013818 41225947 65025662 70027636 76562473 82451894 130051324 153124946 164903788 182572051 227589817 306249892 365144102 455179634 535937311 730288204 910359268 1071874622 1278004357 2143749244 2373436663 2556008714 4746873326 5112017428 9493746652 16614056641 33228113282 66456226564