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13970894670756 = 2232571210912
BaseRepresentation
bin1100101101001101101000…
…1101101100101110100100
31211110121022200010000221100
43023103122031230232210
53312344343013431011
645414050154520100
72641235536213212
oct313233215545644
954417280100840
1013970894670756
1144a7028903a81
1216977a0436030
137a45b003a93a
143642a2b93cb2
15193635aebd56
hexcb4da36cba4

13970894670756 has 81 divisors (see below), whose sum is σ = 35409729778059. Its totient is φ = 4644548031600.

The previous prime is 13970894670697. The next prime is 13970894670757. The reversal of 13970894670756 is 65707649807931.

It is a happy number.

The square root of 13970894670756 is 3737766.

It is a perfect power (a square), and thus also a powerful number.

13970894670756 is a `hidden beast` number, since 1 + 3 + 97 + 0 + 8 + 9 + 467 + 0 + 75 + 6 = 666.

It is a super-2 number, since 2×139708946707562 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13970894670757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12805585771 + ... + 12805586861.

Almost surely, 213970894670756 is an apocalyptic number.

13970894670756 is the 3737766-th square number.

It is an amenable number.

13970894670756 is an abundant number, since it is smaller than the sum of its proper divisors (21438835107303).

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

13970894670756 is an frugal number, since it uses more digits than its factorization.

13970894670756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 13970894670756 in words is "thirteen trillion, nine hundred seventy billion, eight hundred ninety-four million, six hundred seventy thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 571 1091 1142 1713 2182 2284 3273 3426 4364 5139 6546 6852 9819 10278 13092 19638 20556 39276 326041 622961 652082 978123 1190281 1245922 1304164 1868883 1956246 2380562 2491844 2934369 3570843 3737766 3912492 4761124 5606649 5868738 7141686 7475532 10712529 11213298 11737476 14283372 21425058 22426596 42850116 355710731 679650451 711421462 1067132193 1359300902 1422842924 2038951353 2134264386 2718601804 3201396579 4077902706 4268528772 6116854059 6402793158 8155805412 12233708118 12805586316 24467416236 388080407521 776160815042 1164241222563 1552321630084 2328482445126 3492723667689 4656964890252 6985447335378 13970894670756