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642721816818 = 23337701458891
BaseRepresentation
bin10010101101001010011…
…01001010000011110010
32021102222101111012202000
421112211031022003302
541012243241114233
61211132355034430
764302150205554
oct11264515120362
92242871435660
10642721816818
11228638789924
12a469229ba16
13487ba894863
14231721234d4
1511aba798d13
hex95a534a0f2

642721816818 has 64 divisors (see below), whose sum is σ = 1468968359040. Its totient is φ = 208152504000.

The previous prime is 642721816813. The next prime is 642721816819. The reversal of 642721816818 is 818618127246.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (642721816813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171153 + ... + 1630043.

It is an arithmetic number, because the mean of its divisors is an integer number (22952630610).

Almost surely, 2642721816818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642721816818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734484179520).

642721816818 is an abundant number, since it is smaller than the sum of its proper divisors (826246542222).

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

642721816818 is a wasteful number, since it uses less digits than its factorization.

642721816818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459640 (or 459634 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 642721816818 in words is "six hundred forty-two billion, seven hundred twenty-one million, eight hundred sixteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 701 999 1402 1998 2103 4206 6309 12618 18927 25937 37854 51874 77811 155622 233433 458891 466866 700299 917782 1376673 1400598 2753346 4130019 8260038 12390057 16978967 24780114 33957934 50936901 101873802 152810703 305621406 321682591 458432109 643365182 916864218 965047773 1930095546 2895143319 5790286638 8685429957 11902255867 17370859914 23804511734 35706767601 71413535202 107120302803 214240605606 321360908409 642721816818