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10523914386672 = 2431554114107729
BaseRepresentation
bin1001100100100100101000…
…1011011011110011110000
31101021002001200120200100210
42121021022023123303300
52334410434040333142
634214341452344120
72134220260221621
oct231111213336360
941232050520323
1010523914386672
11339819234a145
12121b731775040
135b452992824b
14285508463a48
15133b402a549c
hex9924a2dbcf0

10523914386672 has 40 divisors (see below), whose sum is σ = 27188530117840. Its totient is φ = 3507745489920.

The previous prime is 10523914386637. The next prime is 10523914386691. The reversal of 10523914386672 is 27668341932501.

It is a super-2 number, since 2×105239143866722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6307897 + ... + 7799832.

It is an arithmetic number, because the mean of its divisors is an integer number (679713252946).

It is a 1-persistent number, because it is pandigital, but 2⋅10523914386672 = 21047828773344 is not.

Almost surely, 210523914386672 is an apocalyptic number.

10523914386672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10523914386672 is an abundant number, since it is smaller than the sum of its proper divisors (16664615731168).

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

10523914386672 is a wasteful number, since it uses less digits than its factorization.

10523914386672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14123281 (or 14123275 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 10523914386672 in words is "ten trillion, five hundred twenty-three billion, nine hundred fourteen million, three hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 15541 31082 46623 62164 93246 124328 186492 248656 372984 745968 14107729 28215458 42323187 56430916 84646374 112861832 169292748 225723664 338585496 677170992 219248216389 438496432778 657744649167 876992865556 1315489298334 1753985731112 2630978596668 3507971462224 5261957193336 10523914386672