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1004384693052 = 2233136577108769
BaseRepresentation
bin11101001110110011111…
…11100010101100111100
310120000111021222220121000
432213121333202230330
5112423434440134202
62045224041410300
7132364406012466
oct16473177425474
93500437886530
101004384693052
11357a58a7a764
121427a6499990
13739367cc580
14368808d9136
151b1d667991c
hexe9d9fe2b3c

1004384693052 has 96 divisors (see below), whose sum is σ = 2804717115200. Its totient is φ = 308991614976.

The previous prime is 1004384693047. The next prime is 1004384693087. The reversal of 1004384693052 is 2503964834001.

1004384693052 is a `hidden beast` number, since 100 + 4 + 3 + 8 + 469 + 30 + 52 = 666.

It is a super-2 number, since 2×10043846930522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004384692989 and 1004384693007.

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, 9179724 + ... + 9288492.

Almost surely, 21004384693052 is an apocalyptic number.

1004384693052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004384693052 is an abundant number, since it is smaller than the sum of its proper divisors (1800332422148).

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

1004384693052 is a wasteful number, since it uses less digits than its factorization.

1004384693052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115372 (or 115364 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1004384693052 in words is "one trillion, four billion, three hundred eighty-four million, six hundred ninety-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 6577 13154 19731 26308 39462 59193 78924 85501 108769 118386 171002 177579 217538 236772 256503 326307 342004 355158 435076 513006 652614 710316 769509 978921 1026012 1305228 1413997 1539018 1957842 2308527 2827994 2936763 3078036 3915684 4241991 4617054 5655988 5873526 8483982 9234108 11747052 12725973 16967964 25451946 38177919 50903892 76355838 152711676 715373713 1430747426 2146121139 2861494852 4292242278 6438363417 8584484556 9299858269 12876726834 18599716538 19315090251 25753453668 27899574807 37199433076 38630180502 55799149614 77260361004 83698724421 111598299228 167397448842 251096173263 334794897684 502192346526 1004384693052