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20333798064 = 243416219679
BaseRepresentation
bin10010111011111111…
…010010001010110000
31221111002121222010000
4102323333102022300
5313120423014224
613201411510000
71316614301046
oct227377221260
957432558100
1020333798064
118694998498
123b358b8300
131bc08aa398
14dac776396
157e02040c9
hex4bbfd22b0

20333798064 has 100 divisors (see below), whose sum is σ = 58894300960. Its totient is φ = 6773051520.

The previous prime is 20333798059. The next prime is 20333798099. The reversal of 20333798064 is 46089733302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2095977 + ... + 2105655.

Almost surely, 220333798064 is an apocalyptic number.

20333798064 is a gapful number since it is divisible by the number (24) 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 20333798064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29447150480).

20333798064 is an abundant number, since it is smaller than the sum of its proper divisors (38560502896).

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

20333798064 is a wasteful number, since it uses less digits than its factorization.

20333798064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

It can be divided in two parts, 203337 and 98064, that added together give a square (301401 = 5492).

The spelling of 20333798064 in words is "twenty billion, three hundred thirty-three million, seven hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1621 3242 4863 6484 9679 9726 12968 14589 19358 19452 25936 29037 29178 38716 38904 43767 58074 58356 77432 77808 87111 87534 116148 116712 131301 154864 174222 175068 232296 233424 261333 262602 348444 350136 464592 522666 525204 696888 700272 783999 1045332 1050408 1393776 1567998 2090664 2100816 3135996 4181328 6271992 12543984 15689659 31379318 47068977 62758636 94137954 125517272 141206931 188275908 251034544 282413862 376551816 423620793 564827724 753103632 847241586 1129655448 1270862379 1694483172 2259310896 2541724758 3388966344 5083449516 6777932688 10166899032 20333798064