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12874073364 = 22331511993967
BaseRepresentation
bin10111111110101101…
…01100010100010100
31020020012211200121000
423333112230110110
5202331230321424
65525252023300
7634013550405
oct137726542424
936205750530
1012874073364
115507095959
1225b3601b30
1312a22812b9
148a1b499ac
1550537a3c9
hex2ff5ac514

12874073364 has 96 divisors (see below), whose sum is σ = 33775616000. Its totient is φ = 4240447200.

The previous prime is 12874073351. The next prime is 12874073411. The reversal of 12874073364 is 46337047821.

12874073364 is a `hidden beast` number, since 1 + 287 + 4 + 0 + 7 + 3 + 364 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3243309 + ... + 3247275.

Almost surely, 212874073364 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 12874073364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887808000).

12874073364 is an abundant number, since it is smaller than the sum of its proper divisors (20901542636).

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

12874073364 is a wasteful number, since it uses less digits than its factorization.

12874073364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 12874073364 in words is "twelve billion, eight hundred seventy-four million, seventy-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 199 302 398 453 597 604 796 906 1194 1359 1791 1812 2388 2718 3582 3967 4077 5373 5436 7164 7934 8154 10746 11901 15868 16308 21492 23802 30049 35703 47604 60098 71406 90147 107109 120196 142812 180294 214218 270441 360588 428436 540882 599017 789433 811323 1081764 1198034 1578866 1622646 1797051 2368299 2396068 3157732 3245292 3594102 4736598 5391153 7104897 7188204 9473196 10782306 14209794 16173459 21314691 21564612 28419588 32346918 42629382 64693836 85258764 119204383 238408766 357613149 476817532 715226298 1072839447 1430452596 2145678894 3218518341 4291357788 6437036682 12874073364