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20858416152 = 23371723093163
BaseRepresentation
bin10011011011010000…
…100010110000011000
31222211122210022211120
4103123100202300120
5320204223304102
613325432125240
71335614416620
oct233320426030
958748708746
1020858416152
118934039862
124061536820
131c754a18a2
14101c2d9880
158212d16bc
hex4db422c18

20858416152 has 128 divisors (see below), whose sum is σ = 63148377600. Its totient is φ = 5604784128.

The previous prime is 20858416151. The next prime is 20858416193. The reversal of 20858416152 is 25161485802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20858416151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6592923 + ... + 6596085.

It is an arithmetic number, because the mean of its divisors is an integer number (493346700).

Almost surely, 220858416152 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 20858416152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574188800).

20858416152 is an abundant number, since it is smaller than the sum of its proper divisors (42289961448).

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

20858416152 is a wasteful number, since it uses less digits than its factorization.

20858416152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 20858416152 in words is "twenty billion, eight hundred fifty-eight million, four hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2309 2856 3163 4618 6326 6927 9236 9489 12652 13854 16163 18472 18978 22141 25304 27708 32326 37956 39253 44282 48489 53771 55416 64652 66423 75912 78506 88564 96978 107542 117759 129304 132846 157012 161313 177128 193956 215084 235518 265692 274771 314024 322626 376397 387912 430168 471036 531384 549542 645252 752794 824313 942072 1099084 1129191 1290504 1505588 1648626 2198168 2258382 3011176 3297252 4516764 6594504 7303367 9033528 14606734 21910101 29213468 43820202 51123569 58426936 87640404 102247138 124157239 153370707 175280808 204494276 248314478 306741414 372471717 408988552 496628956 613482828 744943434 869100673 993257912 1226965656 1489886868 1738201346 2607302019 2979773736 3476402692 5214604038 6952805384 10429208076 20858416152