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14704677372 = 223711194771251
BaseRepresentation
bin11011011000111011…
…11001000111111100
31101221210110000012110
431230131321013330
5220103344133442
610431044134020
71030252460340
oct155435710774
941853400173
1014704677372
116266452830
122a24697310
1315045c8238
149d6d0b620
155b0e2b69c
hex36c7791fc

14704677372 has 384 divisors, whose sum is σ = 46820229120. Its totient is φ = 3477600000.

The previous prime is 14704677343. The next prime is 14704677413. The reversal of 14704677372 is 27377640741.

It is a super-2 number, since 2×147046773722 (a number of 21 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 127 ways as a sum of consecutive naturals, for example, 58584247 + ... + 58584497.

It is an arithmetic number, because the mean of its divisors is an integer number (121927680).

Almost surely, 214704677372 is an apocalyptic number.

14704677372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14704677372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410114560).

14704677372 is an abundant number, since it is smaller than the sum of its proper divisors (32115551748).

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

14704677372 is a wasteful number, since it uses less digits than its factorization.

14704677372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

It can be divided in two parts, 14704 and 677372, that added together give a triangular number (692076 = T1176).

The spelling of 14704677372 in words is "fourteen billion, seven hundred four million, six hundred seventy-seven thousand, three hundred seventy-two".