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21433352292 = 2232111134611039
BaseRepresentation
bin10011111101100001…
…110000000001100100
32001022201122002221200
4103331201300001210
5322343414233132
613502451042500
71356065326362
oct237541600144
961281562850
1021433352292
1190a96288a0
1241a1ba0430
1320376331a1
1410747da632
158569ecd7c
hex4fd870064

21433352292 has 144 divisors (see below), whose sum is σ = 59813994240. Its totient is φ = 6417331200.

The previous prime is 21433352273. The next prime is 21433352329. The reversal of 21433352292 is 29225333412.

21433352292 is a `hidden beast` number, since 2 + 1 + 43 + 3 + 3 + 522 + 92 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 20628309 + ... + 20629347.

It is an arithmetic number, because the mean of its divisors is an integer number (415374960).

Almost surely, 221433352292 is an apocalyptic number.

21433352292 is a gapful number since it is divisible by the number (22) 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 21433352292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29906997120).

21433352292 is an abundant number, since it is smaller than the sum of its proper divisors (38380641948).

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

21433352292 is a wasteful number, since it uses less digits than its factorization.

21433352292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1629 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 21433352292 in words is "twenty-one billion, four hundred thirty-three million, three hundred fifty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 461 678 922 1017 1039 1243 1356 1383 1844 2034 2078 2486 2766 3117 3729 4068 4149 4156 4972 5071 5532 6234 7458 8298 9351 10142 11187 11429 12468 14916 15213 16596 18702 20284 22374 22858 30426 34287 37404 44748 45639 45716 52093 60852 68574 91278 102861 104186 117407 137148 156279 182556 205722 208372 234814 312558 352221 411444 468837 469628 478979 573023 625116 704442 937674 957958 1056663 1146046 1291477 1408884 1436937 1719069 1875348 1915916 2113326 2292092 2582954 2873874 3438138 3874431 4226652 4310811 5157207 5165908 5268769 5747748 6876276 7748862 8621622 10314414 10537538 11623293 15497724 15806307 17243244 20628828 21075076 23246586 31612614 46493172 47418921 54124627 63225228 94837842 108249254 162373881 189675684 216498508 324747762 487121643 595370897 649495524 974243286 1190741794 1786112691 1948486572 2381483588 3572225382 5358338073 7144450764 10716676146 21433352292