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2287392008672 = 251922341209977
BaseRepresentation
bin100001010010010011001…
…100000010100111100000
322002200011021121120001102
4201102103030002213200
5244434034323234142
64510451405053532
7324154464162251
oct41222314024740
98080137546042
102287392008672
1180209417a641
1230b38ab572a8
13137914295384
147c9d334ab28
153e778870532
hex214933029e0

2287392008672 has 144 divisors (see below), whose sum is σ = 5080422749472. Its totient is φ = 1011110031360.

The previous prime is 2287392008669. The next prime is 2287392008801. The reversal of 2287392008672 is 2768002937822.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10788548 + ... + 10998524.

It is an arithmetic number, because the mean of its divisors is an integer number (35280713538).

Almost surely, 22287392008672 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 2287392008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540211374736).

2287392008672 is an abundant number, since it is smaller than the sum of its proper divisors (2793030740800).

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

2287392008672 is a wasteful number, since it uses less digits than its factorization.

2287392008672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210089 (or 210062 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 2287392008672 in words is "two trillion, two hundred eighty-seven billion, three hundred ninety-two million, eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 32 38 41 46 76 82 92 152 164 184 304 328 361 368 437 608 656 722 736 779 874 943 1312 1444 1558 1748 1886 2888 3116 3496 3772 5776 6232 6992 7544 8303 11552 12464 13984 14801 15088 16606 17917 24928 29602 30176 33212 35834 59204 66424 71668 118408 132848 143336 209977 236816 265696 286672 340423 419954 473632 573344 680846 839908 1361692 1679816 2723384 3359632 3989563 4829471 5446768 6719264 7979126 8609057 9658942 10893536 15958252 17218114 19317884 31916504 34436228 38635768 63833008 68872456 75801697 77271536 91759949 127666016 137744912 151603394 154543072 163572083 183519898 198008311 275489824 303206788 327144166 367039796 396016622 606413576 654288332 734079592 792033244 1212827152 1308576664 1468159184 1584066488 1743439031 2425654304 2617153328 2936318368 3107869577 3168132976 3486878062 3762157909 5234306656 6215739154 6336265952 6973756124 7524315818 12431478308 13947512248 15048631636 24862956616 27895024496 30097263272 49725913232 55790048992 60194526544 71481000271 99451826464 120389053088 142962000542 285924001084 571848002168 1143696004336 2287392008672