Search a number
-
+
27928179465372 = 22331931439039481
BaseRepresentation
bin1100101100110100010010…
…01101110101110010011100
310122212220111211211201122000
412112122021031311302130
512130033402420342442
6135222010054522300
75611513215410304
oct626321115656234
9118786454751560
1027928179465372
11899830224962a
123170802966390
131277801530914
146c7a341c4604
15336721977d4c
hex196689375c9c

27928179465372 has 96 divisors (see below), whose sum is σ = 78675875174400. Its totient is φ = 8534927491200.

The previous prime is 27928179465367. The next prime is 27928179465413. The reversal of 27928179465372 is 27356497182972.

27928179465372 is a `hidden beast` number, since 2 + 7 + 9 + 2 + 81 + 7 + 9 + 4 + 6 + 537 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27928179465372.

It is a congruent number.

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, 219456129 + ... + 219583352.

It is an arithmetic number, because the mean of its divisors is an integer number (819540366400).

Almost surely, 227928179465372 is an apocalyptic number.

It is an amenable number.

27928179465372 is an abundant number, since it is smaller than the sum of its proper divisors (50747695709028).

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

27928179465372 is a wasteful number, since it uses less digits than its factorization.

27928179465372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439039544 (or 439039536 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 27928179465372 in words is "twenty-seven trillion, nine hundred twenty-eight billion, one hundred seventy-nine million, four hundred sixty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 1026 1116 1178 1674 1767 2052 2356 3348 3534 5301 7068 10602 15903 21204 31806 63612 439039481 878078962 1317118443 1756157924 2634236886 3951355329 5268473772 7902710658 8341750139 11854065987 13610223911 15805421316 16683500278 23708131974 25025250417 27220447822 33367000556 40830671733 47416263948 50050500834 54440895644 75075751251 81661343466 100101001668 122492015199 150151502502 163322686932 225227253753 244984030398 258594254309 300303005004 367476045597 450454507506 489968060796 517188508618 734952091194 775782762927 900909015012 1034377017236 1469904182388 1551565525854 2327348288781 3103131051708 4654696577562 6982044866343 9309393155124 13964089732686 27928179465372