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21437501408 = 2541151241449
BaseRepresentation
bin10011111101110001…
…100100111111100000
32001100000102220110122
4103331301210333200
5322401000021113
613503120015412
71356145520051
oct237561447740
961300386418
1021437501408
119100a02114
1241a3461568
13203845689b
14107519a728
1585706c408
hex4fdc64fe0

21437501408 has 96 divisors (see below), whose sum is σ = 43798708800. Its totient is φ = 10321920000.

The previous prime is 21437501399. The next prime is 21437501411. The reversal of 21437501408 is 80410573412.

It is a congruent number.

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, 47744768 + ... + 47745216.

It is an arithmetic number, because the mean of its divisors is an integer number (456236550).

Almost surely, 221437501408 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 21437501408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899354400).

21437501408 is an abundant number, since it is smaller than the sum of its proper divisors (22361207392).

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

21437501408 is a wasteful number, since it uses less digits than its factorization.

21437501408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 21437501408 in words is "twenty-one billion, four hundred thirty-seven million, five hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 41 82 151 164 241 302 328 449 482 604 656 898 964 1208 1312 1796 1928 2416 3592 3856 4832 6191 7184 7712 9881 12382 14368 18409 19762 24764 36391 36818 39524 49528 67799 72782 73636 79048 99056 108209 135598 145564 147272 158096 198112 216418 271196 291128 294544 316192 432836 542392 582256 589088 865672 1084784 1164512 1492031 1731344 2169568 2779759 2984062 3462688 4436569 5559518 5968124 8873138 11119036 11936248 16339559 17746276 22238072 23872496 32679118 35492552 44476144 47744992 65358236 70985104 88952288 130716472 141970208 261432944 522865888 669921919 1339843838 2679687676 5359375352 10718750704 21437501408