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6451700064 = 253293762633
BaseRepresentation
bin1100000001000110…
…10010000101100000
3121122122000022200020
412000203102011200
5101203113400224
62544110153440
7315610355115
oct60043220540
917578008606
106451700064
1128108a8827
1213007b2880
137ba83c504
14452bd090c
1527b60ec79
hex1808d2160

6451700064 has 96 divisors (see below), whose sum is σ = 17993495520. Its totient is φ = 2020257792.

The previous prime is 6451700029. The next prime is 6451700111. The reversal of 6451700064 is 4600071546.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6451699998 and 6451700034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71692 + ... + 134324.

It is an arithmetic number, because the mean of its divisors is an integer number (187432245).

Almost surely, 26451700064 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 6451700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996747760).

6451700064 is an abundant number, since it is smaller than the sum of its proper divisors (11541795456).

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

6451700064 is a wasteful number, since it uses less digits than its factorization.

6451700064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62712 (or 62704 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6451700064 is about 80322.4754598612. The cubic root of 6451700064 is about 1861.6215157983.

The spelling of 6451700064 in words is "six billion, four hundred fifty-one million, seven hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 74 87 96 111 116 148 174 222 232 296 348 444 464 592 696 888 928 1073 1184 1392 1776 2146 2784 3219 3552 4292 6438 8584 12876 17168 25752 34336 51504 62633 103008 125266 187899 250532 375798 501064 751596 1002128 1503192 1816357 2004256 2317421 3006384 3632714 4634842 5449071 6012768 6952263 7265428 9269684 10898142 13904526 14530856 18539368 21796284 27809052 29061712 37078736 43592568 55618104 58123424 67205209 74157472 87185136 111236208 134410418 174370272 201615627 222472416 268820836 403231254 537641672 806462508 1075283344 1612925016 2150566688 3225850032 6451700064