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16879420728 = 23323175411367
BaseRepresentation
bin11111011100001011…
…11000010100111000
31121120100121102020200
433232011320110320
5234032112430403
611430532322200
71135200465102
oct175605702470
947510542220
1016879420728
117181aa1695
123330a73360
131790025921
14b61a92572
1568bd09ca3
hex3ee178538

16879420728 has 96 divisors (see below), whose sum is σ = 45977686560. Its totient is φ = 5594261760.

The previous prime is 16879420669. The next prime is 16879420729. The reversal of 16879420728 is 82702497861.

It is a happy number.

It is a super-2 number, since 2×168794207282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16879420729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12347101 + ... + 12348467.

It is an arithmetic number, because the mean of its divisors is an integer number (478934235).

Almost surely, 216879420728 is an apocalyptic number.

16879420728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16879420728 is an abundant number, since it is smaller than the sum of its proper divisors (29098265832).

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

16879420728 is a wasteful number, since it uses less digits than its factorization.

16879420728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 16879420728 in words is "sixteen billion, eight hundred seventy-nine million, four hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 541 634 951 1082 1268 1367 1623 1902 2164 2536 2734 2853 3246 3804 4101 4328 4869 5468 5706 6492 7608 8202 9738 10936 11412 12303 12984 16404 19476 22824 24606 32808 38952 49212 98424 171497 342994 433339 514491 685988 739547 866678 1028982 1300017 1371976 1479094 1543473 1733356 2057964 2218641 2600034 2958188 3086946 3466712 3900051 4115928 4437282 5200068 5916376 6173892 6655923 7800102 8874564 10400136 12347784 13311846 15600204 17749128 26623692 31200408 53247384 234436399 468872798 703309197 937745596 1406618394 1875491192 2109927591 2813236788 4219855182 5626473576 8439710364 16879420728