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28863718713972 = 22332393469322349
BaseRepresentation
bin1101001000000010110111…
…01100110110101001110100
310210012100022011222200211000
412210001123230312221310
512240400343442321342
6141215450451443300
76036222566666442
oct644013354665164
9123170264880730
1028863718713972
11921904181395a
1232a1b94bb6530
131314ab5b582bc
1471b023567b92
15350c2905244c
hex1a405bb36a74

28863718713972 has 96 divisors (see below), whose sum is σ = 75166862400000. Its totient is φ = 9578191738752.

The previous prime is 28863718713937. The next prime is 28863718713983. The reversal of 28863718713972 is 27931781736882.

28863718713972 is a `hidden beast` number, since 2 + 8 + 86 + 371 + 87 + 1 + 39 + 72 = 666.

It is a super-2 number, since 2×288637187139722 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28863718713972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89380654 + ... + 89703002.

It is an arithmetic number, because the mean of its divisors is an integer number (782988150000).

Almost surely, 228863718713972 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 28863718713972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37583431200000).

28863718713972 is an abundant number, since it is smaller than the sum of its proper divisors (46303143686028).

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

28863718713972 is a wasteful number, since it uses less digits than its factorization.

28863718713972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326070 (or 326062 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 28863718713972 in words is "twenty-eight trillion, eight hundred sixty-three billion, seven hundred eighteen million, seven hundred thirteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1434 2151 2868 3469 4302 6453 6938 8604 10407 12906 13876 20814 25812 31221 41628 62442 93663 124884 187326 322349 374652 644698 829091 967047 1289396 1658182 1934094 2487273 2901141 3316364 3868188 4974546 5802282 7461819 8703423 9949092 11604564 14923638 17406846 22385457 29847276 34813692 44770914 77041411 89541828 154082822 231124233 308165644 462248466 693372699 924496932 1118228681 1386745398 2080118097 2236457362 2773490796 3354686043 4160236194 4472914724 6709372086 8320472388 10064058129 13418744172 20128116258 30192174387 40256232516 60384348774 120768697548 267256654759 534513309518 801769964277 1069026619036 1603539928554 2405309892831 3207079857108 4810619785662 7215929678493 9621239571324 14431859356986 28863718713972