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42717714816 = 273715892007
BaseRepresentation
bin100111110010001011…
…001001100110000000
311002021001220202100210
4213302023021212000
51144441213333231
631342500514120
73041404404420
oct476213114600
9132231822323
1042717714816
1117131044447
1283420ab940
13404a12c23a
1420d34d2480
1511a03baa46
hex9f22c9980

42717714816 has 64 divisors (see below), whose sum is σ = 129678785280. Its totient is φ = 12205060608.

The previous prime is 42717714799. The next prime is 42717714817. The reversal of 42717714816 is 61841771724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×427177148162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42717714817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7943316 + ... + 7948691.

It is an arithmetic number, because the mean of its divisors is an integer number (2026231020).

Almost surely, 242717714816 is an apocalyptic number.

It is an amenable number.

42717714816 is an abundant number, since it is smaller than the sum of its proper divisors (86961070464).

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

42717714816 is a wasteful number, since it uses less digits than its factorization.

42717714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892031 (or 15892019 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The spelling of 42717714816 in words is "forty-two billion, seven hundred seventeen million, seven hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 15892007 31784014 47676021 63568028 95352042 111244049 127136056 190704084 222488098 254272112 333732147 381408168 444976196 508544224 667464294 762816336 889952392 1017088448 1334928588 1525632672 1779904784 2034176896 2669857176 3051265344 3559809568 5339714352 6102530688 7119619136 10679428704 14239238272 21358857408 42717714816