Search a number
-
+
13769555664 = 2431919378229
BaseRepresentation
bin11001101001011101…
…01011111011010000
31022112121211220101010
430310232223323100
5211200001240124
610154201210520
7665136202104
oct146456537320
938477756333
1013769555664
115926611a77
122803490a40
1313b5955597
14948a4b904
15558cb3529
hex334babed0

13769555664 has 80 divisors (see below), whose sum is σ = 37638017600. Its totient is φ = 4325695488.

The previous prime is 13769555651. The next prime is 13769555669. The reversal of 13769555664 is 46655596731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13769555669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 136902 + ... + 215130.

It is an arithmetic number, because the mean of its divisors is an integer number (470475220).

Almost surely, 213769555664 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 13769555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18819008800).

13769555664 is an abundant number, since it is smaller than the sum of its proper divisors (23868461936).

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

13769555664 is a wasteful number, since it uses less digits than its factorization.

13769555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78452 (or 78446 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 57.

The spelling of 13769555664 in words is "thirteen billion, seven hundred sixty-nine million, five hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 304 386 456 579 772 912 1158 1544 2316 3088 3667 4632 7334 9264 11001 14668 22002 29336 44004 58672 78229 88008 156458 176016 234687 312916 469374 625832 938748 1251664 1486351 1877496 2972702 3754992 4459053 5945404 8918106 11890808 15098197 17836212 23781616 30196394 35672424 45294591 60392788 71344848 90589182 120785576 181178364 241571152 286865743 362356728 573731486 724713456 860597229 1147462972 1721194458 2294925944 3442388916 4589851888 6884777832 13769555664