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28074022592968 = 231117195003197419
BaseRepresentation
bin1100110001000011111100…
…01001001110000111001000
310200101211221220102020120101
412120201332021032013020
512134431044240433333
6135413010011135144
75625165310503112
oct630417611160710
9120354856366511
1028074022592968
118a44142957a40
123194b254444b4
1312884a4824661
146d0b0b8683b2
1533a40a64667d
hex19887e24e1c8

28074022592968 has 128 divisors (see below), whose sum is σ = 64015251264000. Its totient is φ = 11375825310720.

The previous prime is 28074022592963. The next prime is 28074022592969. The reversal of 28074022592968 is 86929522047082.

It is not an unprimeable number, because it can be changed into a prime (28074022592963) 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, 142106563 + ... + 142303981.

It is an arithmetic number, because the mean of its divisors is an integer number (500119150500).

Almost surely, 228074022592968 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 28074022592968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32007625632000).

28074022592968 is an abundant number, since it is smaller than the sum of its proper divisors (35941228671032).

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

28074022592968 is a wasteful number, since it uses less digits than its factorization.

28074022592968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202475 (or 202471 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 28074022592968 in words is "twenty-eight trillion, seventy-four billion, twenty-two million, five hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 187 209 323 374 418 646 748 836 1292 1496 1672 2584 3553 5003 7106 10006 14212 20012 28424 40024 55033 85051 95057 110066 170102 190114 197419 220132 340204 380228 394838 440264 680408 760456 789676 935561 1045627 1579352 1615969 1871122 2091254 2171609 3231938 3356123 3742244 3750961 4182508 4343218 6463876 6712246 7484488 7501922 8365016 8686436 12927752 13424492 15003844 17372872 17775659 26848984 30007688 35551318 36917353 41260571 63766337 71102636 73834706 82521142 127532674 142205272 147669412 165042284 255065348 295338824 330084568 510130696 701429707 987687257 1402859414 1975374514 2805718828 3950749028 5611437656 7901498056 10864559827 16790683369 18766057883 21729119654 33581366738 37532115766 43458239308 67162733476 75064231532 86916478616 134325466952 150128463064 184697517059 206426636713 319022984011 369395034118 412853273426 638045968022 738790068236 825706546852 1276091936044 1477580136472 1651413093704 2552183872088 3509252824121 7018505648242 14037011296484 28074022592968