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20764419259808 = 2574715431278227
BaseRepresentation
bin1001011100010100101111…
…10101010111110110100000
32201112001121002011100221002
410232022113311113312200
510210201012312303213
6112055013103451132
74242115444355330
oct456122765276640
981461532140832
1020764419259808
116686160388024
1223b4349bb6aa8
13b780cb925393
1451b008d050c0
152601e4631658
hex12e297d57da0

20764419259808 has 96 divisors (see below), whose sum is σ = 47744944902144. Its totient is φ = 8704044156672.

The previous prime is 20764419259783. The next prime is 20764419259823. The reversal of 20764419259808 is 80895291446702.

It is a super-2 number, since 2×207644192598082 (a number of 27 digits) contains 22 as substring.

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, 15605591 + ... + 16883817.

It is an arithmetic number, because the mean of its divisors is an integer number (497343176064).

Almost surely, 220764419259808 is an apocalyptic number.

20764419259808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20764419259808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872472451072).

20764419259808 is an abundant number, since it is smaller than the sum of its proper divisors (26980525642336).

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

20764419259808 is a wasteful number, since it uses less digits than its factorization.

20764419259808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279834 (or 1279826 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 65.

The spelling of 20764419259808 in words is "twenty trillion, seven hundred sixty-four billion, four hundred nineteen million, two hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 1543 2632 3086 5264 6172 10528 10801 12344 21602 24688 43204 49376 72521 86408 145042 172816 290084 345632 507647 580168 1015294 1160336 1278227 2030588 2320672 2556454 4061176 5112908 8122352 8947589 10225816 16244704 17895178 20451632 35790356 40903264 60076669 71580712 120153338 143161424 240306676 286322848 420536683 480613352 841073366 961226704 1682146732 1922453408 1972304261 3364293464 3944608522 6728586928 7889217044 13457173856 13806129827 15778434088 27612259654 31556868176 55224519308 63113736352 92698300267 110449038616 185396600534 220898077232 370793201068 441796154464 648888101869 741586402136 1297776203738 1483172804272 2595552407476 2966345608544 5191104814952 10382209629904 20764419259808