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47621354368 = 277194168227
BaseRepresentation
bin101100010110011101…
…000011001110000000
311112220210222110020111
4230112131003032000
51240012031314433
633513230521104
73304046555560
oct542635031600
9145823873214
1047621354368
1119218016415
129290366194
13464c01cac3
14243a86cda0
15138ab3adcd
hexb16743380

47621354368 has 128 divisors (see below), whose sum is σ = 116915500800. Its totient is φ = 18863124480.

The previous prime is 47621354323. The next prime is 47621354369. The reversal of 47621354368 is 86345312674.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47621354369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663871 + ... + 732097.

It is an arithmetic number, because the mean of its divisors is an integer number (913402350).

Almost surely, 247621354368 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 47621354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58457750400).

47621354368 is an abundant number, since it is smaller than the sum of its proper divisors (69294146432).

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

47621354368 is a wasteful number, since it uses less digits than its factorization.

47621354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68308 (or 68296 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

The spelling of 47621354368 in words is "forty-seven billion, six hundred twenty-one million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 82 112 128 133 152 164 224 266 287 304 328 448 532 574 608 656 779 896 1064 1148 1216 1312 1558 2128 2296 2432 2624 3116 4256 4592 5248 5453 6232 8512 9184 10906 12464 17024 18368 21812 24928 36736 43624 49856 68227 87248 99712 136454 174496 272908 348992 477589 545816 697984 955178 1091632 1296313 1910356 2183264 2592626 2797307 3820712 4366528 5185252 5594614 7641424 8733056 9074191 10370504 11189228 15282848 18148382 19581149 20741008 22378456 30565696 36296764 39162298 41482016 44756912 53148833 61131392 72593528 78324596 82964032 89513824 106297666 145187056 156649192 165928064 179027648 212595332 290374112 313298384 358055296 372041831 425190664 580748224 626596768 744083662 850381328 1161496448 1253193536 1488167324 1700762656 2506387072 2976334648 3401525312 5952669296 6803050624 11905338592 23810677184 47621354368