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21378661812 = 223231139913693
BaseRepresentation
bin10011111010010001…
…000111110110110100
32001011220201112201100
4103322101013312310
5322240414134222
613453214530100
71354532425044
oct237221076664
961156645640
1021378661812
119080774052
124187806930
1320291c4b61
14106b441724
15851ce84ac
hex4fa447db4

21378661812 has 72 divisors (see below), whose sum is σ = 55827699200. Its totient is φ = 6890909760.

The previous prime is 21378661789. The next prime is 21378661853. The reversal of 21378661812 is 21816687312.

21378661812 is a `hidden beast` number, since 2 + 13 + 7 + 8 + 6 + 618 + 12 = 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 23 ways as a sum of consecutive naturals, for example, 1554438 + ... + 1568130.

Almost surely, 221378661812 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 21378661812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27913849600).

21378661812 is an abundant number, since it is smaller than the sum of its proper divisors (34449037388).

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

21378661812 is a wasteful number, since it uses less digits than its factorization.

21378661812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133 (or 15128 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 21378661812 in words is "twenty-one billion, three hundred seventy-eight million, six hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1399 2798 4197 5596 8394 12591 13693 16788 25182 27386 41079 43369 50364 54772 82158 86738 123237 130107 164316 173476 246474 260214 390321 424483 492948 520428 780642 848966 1273449 1561284 1697932 2546898 3820347 5093796 7640694 15281388 19156507 38313014 57469521 76626028 114939042 172408563 229878084 344817126 593851717 689634252 1187703434 1781555151 2375406868 3563110302 5344665453 7126220604 10689330906 21378661812