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21100383792 = 2433471317933
BaseRepresentation
bin10011101001101011…
…100100111000110000
32000110112002120001000
4103221223210320300
5321203144240132
613405434242000
71344613205625
oct235153447060
960415076030
1021100383792
118a48686714
12410a586300
131cb36611c7
1410424c434c
1583767a87c
hex4e9ae4e30

21100383792 has 160 divisors (see below), whose sum is σ = 62334581760. Its totient is φ = 6830403840.

The previous prime is 21100383779. The next prime is 21100383851. The reversal of 21100383792 is 29738300112.

It is a super-3 number, since 3×211003837923 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2655858 + ... + 2663790.

It is an arithmetic number, because the mean of its divisors is an integer number (389591136).

Almost surely, 221100383792 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 21100383792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31167290880).

21100383792 is an abundant number, since it is smaller than the sum of its proper divisors (41234197968).

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

21100383792 is a wasteful number, since it uses less digits than its factorization.

21100383792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 21100383792 in words is "twenty-one billion, one hundred million, three hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 131 141 144 188 216 262 282 376 393 423 432 524 564 752 786 846 1048 1128 1179 1269 1572 1692 2096 2256 2358 2538 3144 3384 3537 4716 5076 6157 6288 6768 7074 7933 9432 10152 12314 14148 15866 18471 18864 20304 23799 24628 28296 31732 36942 47598 49256 55413 56592 63464 71397 73884 95196 98512 110826 126928 142794 147768 166239 190392 214191 221652 285588 295536 332478 372851 380784 428382 443304 571176 664956 745702 856764 886608 1039223 1118553 1142352 1329912 1491404 1713528 2078446 2237106 2659824 2982808 3117669 3355659 3427056 4156892 4474212 5965616 6235338 6711318 8313784 8948424 9353007 10066977 12470676 13422636 16627568 17896848 18706014 20133954 24941352 26845272 28059021 37412028 40267908 48843481 49882704 53690544 56118042 74824056 80535816 97686962 112236084 146530443 149648112 161071632 195373924 224472168 293060886 390747848 439591329 448944336 586121772 781495696 879182658 1172243544 1318773987 1758365316 2344487088 2637547974 3516730632 5275095948 7033461264 10550191896 21100383792