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29319614874 = 23411131125597
BaseRepresentation
bin11011010011100101…
…011101000110011010
32210200100000202110000
4123103211131012122
5440021310133444
621245205033430
72055365420514
oct332345350632
983610022400
1029319614874
1111486181680
1258230b5876
1329c3432a54
1415c1d38bb4
15b6902d469
hex6d395d19a

29319614874 has 80 divisors (see below), whose sum is σ = 72217845216. Its totient is φ = 8816839200.

The previous prime is 29319614839. The next prime is 29319614897. The reversal of 29319614874 is 47841691392.

29319614874 is a `hidden beast` number, since 2 + 9 + 3 + 19 + 614 + 8 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29319614874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170644 + ... + 296240.

Almost surely, 229319614874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29319614874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36108922608).

29319614874 is an abundant number, since it is smaller than the sum of its proper divisors (42898230342).

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

29319614874 is a wasteful number, since it uses less digits than its factorization.

29319614874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125753 (or 125744 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 29319614874 in words is "twenty-nine billion, three hundred nineteen million, six hundred fourteen thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 131 162 198 262 297 393 594 786 891 1179 1441 1782 2358 2882 3537 4323 7074 8646 10611 12969 21222 25938 38907 77814 116721 125597 233442 251194 376791 753582 1130373 1381567 2260746 2763134 3391119 4144701 6782238 8289402 10173357 12434103 16453207 20346714 24868206 32906414 37302309 49359621 74604618 98719242 111906927 148078863 180985277 223813854 296157726 361970554 444236589 542955831 888473178 1085911662 1332709767 1628867493 2665419534 3257734986 4886602479 9773204958 14659807437 29319614874