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13972063410 = 2345292112819
BaseRepresentation
bin11010000001100110…
…01100010010110010
31100001201220100210000
431000303030102302
5212103322012120
610230233450430
71003145402514
oct150063142262
940051810700
1013972063410
115a1a958048
12285b270a16
1314188aa156
149678c3bb4
1556b965990
hex340ccc4b2

13972063410 has 160 divisors (see below), whose sum is σ = 39062865600. Its totient is φ = 3579085440.

The previous prime is 13972063409. The next prime is 13972063429. The reversal of 13972063410 is 1436027931.

13972063410 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 2 + 0 + 634 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4954981 + ... + 4957799.

It is an arithmetic number, because the mean of its divisors is an integer number (244142910).

Almost surely, 213972063410 is an apocalyptic number.

13972063410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13972063410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531432800).

13972063410 is an abundant number, since it is smaller than the sum of its proper divisors (25090802190).

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

13972063410 is a wasteful number, since it uses less digits than its factorization.

13972063410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13972063410 in words is "thirteen billion, nine hundred seventy-two million, sixty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 211 261 270 290 405 422 435 522 633 783 810 870 1055 1266 1305 1566 1899 2110 2349 2610 2819 3165 3798 3915 4698 5638 5697 6119 6330 7830 8457 9495 11394 11745 12238 14095 16914 17091 18357 18990 23490 25371 28190 28485 30595 34182 36714 42285 50742 55071 56970 61190 76113 81751 84570 85455 91785 110142 126855 152226 163502 165213 170910 183570 228339 245253 253710 275355 330426 380565 408755 456678 490506 495639 550710 594809 735759 761130 817510 826065 991278 1141695 1189618 1226265 1471518 1652130 1784427 2207277 2283390 2452530 2478195 2974045 3568854 3678795 4414554 4956390 5353281 5948090 6621831 7357590 8922135 10706562 11036385 13243662 16059843 17249461 17844270 22072770 26766405 32119686 33109155 34498922 48179529 51748383 53532810 66218310 80299215 86247305 96359058 103496766 155245149 160598430 172494610 240897645 258741915 310490298 465735447 481795290 517483830 776225745 931470894 1397206341 1552451490 2328677235 2794412682 4657354470 6986031705 13972063410