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13370040792 = 2337787971
BaseRepresentation
bin11000111001110101…
…01010000111011000
31021111210002110000000
430130322222013120
5204340212301132
610050410213000
7652215320523
oct143472520730
937453073000
1013370040792
115741048599
122711724160
131350c53a54
1490b971bba
15533b9887c
hex31ceaa1d8

13370040792 has 128 divisors (see below), whose sum is σ = 37684051200. Its totient is φ = 4446433440.

The previous prime is 13370040767. The next prime is 13370040793. The reversal of 13370040792 is 29704007331.

13370040792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13370040793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13768867 + ... + 13769837.

It is an arithmetic number, because the mean of its divisors is an integer number (294406650).

Almost surely, 213370040792 is an apocalyptic number.

13370040792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13370040792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842025600).

13370040792 is an abundant number, since it is smaller than the sum of its proper divisors (24314010408).

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

13370040792 is an frugal number, since it uses more digits than its factorization.

13370040792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13370040792 in words is "thirteen billion, three hundred seventy million, forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 787 971 972 1458 1574 1942 1944 2187 2361 2913 2916 3148 3884 4374 4722 5826 5832 6296 7083 7768 8739 8748 9444 11652 14166 17478 17496 18888 21249 23304 26217 28332 34956 42498 52434 56664 63747 69912 78651 84996 104868 127494 157302 169992 191241 209736 235953 254988 314604 382482 471906 509976 573723 629208 707859 764177 764964 943812 1147446 1415718 1528354 1529928 1721169 1887624 2123577 2292531 2294892 2831436 3056708 3442338 4247154 4585062 4589784 5662872 6113416 6877593 6884676 8494308 9170124 13755186 13769352 16988616 18340248 20632779 27510372 41265558 55020744 61898337 82531116 123796674 165062232 185695011 247593348 371390022 495186696 557085033 742780044 1114170066 1485560088 1671255099 2228340132 3342510198 4456680264 6685020396 13370040792