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4922643636 = 22323161167433
BaseRepresentation
bin1001001010110100…
…11001010010110100
3110201001211012120200
410211122121102310
540040144044021
62132245200500
7232662531501
oct44532312264
913631735520
104922643636
1120a6782029
12b54700130
13605b158b1
14349ac64a8
151dc276126
hex1256994b4

4922643636 has 144 divisors (see below), whose sum is σ = 13163824128. Its totient is φ = 1548979200.

The previous prime is 4922643619. The next prime is 4922643833. The reversal of 4922643636 is 6363462294.

4922643636 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 6 + 4 + 3 + 636 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4922643591 and 4922643600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11368476 + ... + 11368908.

Almost surely, 24922643636 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 4922643636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581912064).

4922643636 is an abundant number, since it is smaller than the sum of its proper divisors (8241180492).

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

4922643636 is a wasteful number, since it uses less digits than its factorization.

4922643636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 4922643636 is about 70161.5538311403. The cubic root of 4922643636 is about 1701.1115724453. Note that the first 3 decimals are identical.

The spelling of 4922643636 in words is "four billion, nine hundred twenty-two million, six hundred forty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 167 183 186 244 279 334 366 372 433 501 549 558 668 732 866 1002 1098 1116 1299 1503 1732 1891 2004 2196 2598 3006 3782 3897 5177 5196 5673 6012 7564 7794 10187 10354 11346 13423 15531 15588 17019 20374 20708 22692 26413 26846 30561 31062 34038 40269 40748 46593 52826 53692 61122 62124 68076 72311 79239 80538 91683 93186 105652 120807 122244 144622 158478 161076 183366 186372 216933 237717 241614 289244 315797 316956 366732 433866 475434 483228 631594 650799 818803 867732 947391 950868 1263188 1301598 1637606 1894782 2241641 2456409 2603196 2842173 3275212 3789564 4410971 4483282 4912818 5684346 6724923 7369227 8821942 8966564 9825636 11368692 13232913 13449846 14738454 17643884 20174769 26465826 26899692 29476908 39698739 40349538 52931652 79397478 80699076 136740101 158794956 273480202 410220303 546960404 820440606 1230660909 1640881212 2461321818 4922643636