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5782922025824 = 251723931159073
BaseRepresentation
bin101010000100111000100…
…0000110101101101100000
3202110211201210000220000202
41110021301000311231200
51224221411014311244
620144345424404332
71134542125115036
oct124116100655540
922424653026022
105782922025824
11192a5837a5509
12794928a766a8
1332c433b49278
1415dc75932556
15a066158804e
hex54271035b60

5782922025824 has 72 divisors (see below), whose sum is σ = 12097388720088. Its totient is φ = 2720665681920.

The previous prime is 5782922025809. The next prime is 5782922025847. The reversal of 5782922025824 is 4285202292875.

It is a super-2 number, since 2×57829220258242 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5782922025824.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36274352 + ... + 36433424.

It is an arithmetic number, because the mean of its divisors is an integer number (168019287779).

Almost surely, 25782922025824 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 5782922025824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048694360044).

5782922025824 is an abundant number, since it is smaller than the sum of its proper divisors (6314466694264).

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

5782922025824 is a wasteful number, since it uses less digits than its factorization.

5782922025824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163048 (or 163023 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 5782922025824 in words is "five trillion, seven hundred eighty-two billion, nine hundred twenty-two million, twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 3931 4624 7862 9248 15724 31448 62896 66827 125792 133654 159073 267308 318146 534616 636292 1069232 1136059 1272584 2138464 2272118 2545168 2704241 4544236 5090336 5408482 9088472 10816964 18176944 21633928 36353888 43267856 45972097 86535712 91944194 183888388 367776776 625315963 735553552 1250631926 1471107104 2501263852 5002527704 10005055408 10630371371 20010110816 21260742742 42521485484 85042970968 170085941936 180716313307 340171883872 361432626614 722865253228 1445730506456 2891461012912 5782922025824