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21076037853288 = 233114711531473187
BaseRepresentation
bin1001100101011001001011…
…01111111110000001101000
32202121211221022112002122020
410302230211233332001220
510230302211142301123
6112454110443424440
74303456602613245
oct462544557760150
982554838462566
1021076037853288
11679632aa0a5a0
122444816525120
13b9b600887372
1452c12b1405cc
15268381d217e3
hex132b25bfe068

21076037853288 has 128 divisors (see below), whose sum is σ = 58754037381120. Its totient is φ = 6245365800960.

The previous prime is 21076037853179. The next prime is 21076037853307. The reversal of 21076037853288 is 88235873067012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13569831 + ... + 15043017.

It is an arithmetic number, because the mean of its divisors is an integer number (459015917040).

Almost surely, 221076037853288 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 21076037853288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29377018690560).

21076037853288 is an abundant number, since it is smaller than the sum of its proper divisors (37677999527832).

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

21076037853288 is a wasteful number, since it uses less digits than its factorization.

21076037853288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474407 (or 1474403 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 21076037853288 in words is "twenty-one trillion, seventy-six billion, thirty-seven million, eight hundred fifty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1153 1551 2068 2306 3102 3459 4136 4612 6204 6918 9224 12408 12683 13836 25366 27672 38049 50732 54191 76098 101464 108382 152196 162573 216764 304392 325146 433528 596101 650292 1192202 1300584 1473187 1788303 2384404 2946374 3576606 4419561 4768808 5892748 7153212 8839122 11785496 14306424 16205057 17678244 32410114 35356488 48615171 64820228 69239789 97230342 129640456 138479578 194460684 207719367 276959156 388921368 415438734 553918312 761637679 830877468 1523275358 1661754936 1698584611 2284913037 3046550716 3397169222 4569826074 5095753833 6093101432 6794338444 9139652148 10191507666 13588676888 18279304296 18684430721 20383015332 37368861442 40766030664 56053292163 74737722884 79833476717 112106584326 149475445768 159666953434 224213168652 239500430151 319333906868 448426337304 479000860302 638667813736 878168243887 958001720604 1756336487774 1916003441208 2634504731661 3512672975548 5269009463322 7025345951096 10538018926644 21076037853288