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31699034820 = 223251793492819
BaseRepresentation
bin11101100001011010…
…001110001011000100
310000211011022210222200
4131201122032023010
51004404423103240
622321244154500
72201350231065
oct354132161304
9100734283880
1031699034820
1112497308042
126187b38a30
132cb239424b
141769d5c56c
15c57d8b930
hex76168e2c4

31699034820 has 144 divisors (see below), whose sum is σ = 97002360000. Its totient is φ = 8378793216.

The previous prime is 31699034813. The next prime is 31699034821. The reversal of 31699034820 is 2843099613.

It is a happy number.

31699034820 is a `hidden beast` number, since 3 + 169 + 9 + 0 + 3 + 482 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31699034821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11243371 + ... + 11246189.

It is an arithmetic number, because the mean of its divisors is an integer number (673627500).

Almost surely, 231699034820 is an apocalyptic number.

31699034820 is a gapful number since it is divisible by the number (30) 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 31699034820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48501180000).

31699034820 is an abundant number, since it is smaller than the sum of its proper divisors (65303325180).

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

31699034820 is a wasteful number, since it uses less digits than its factorization.

31699034820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 31699034820 in words is "thirty-one billion, six hundred ninety-nine million, thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 349 358 537 698 716 895 1047 1074 1396 1611 1745 1790 2094 2148 2685 2819 3141 3222 3490 3580 4188 5235 5370 5638 6282 6444 6980 8055 8457 10470 10740 11276 12564 14095 15705 16110 16914 20940 25371 28190 31410 32220 33828 42285 50742 56380 62471 62820 84570 101484 124942 126855 169140 187413 249884 253710 312355 374826 504601 507420 562239 624710 749652 937065 983831 1009202 1124478 1249420 1513803 1874130 1967662 2018404 2248956 2523005 2811195 2951493 3027606 3748260 3935324 4541409 4919155 5046010 5622390 5902986 6055212 7569015 8854479 9082818 9838310 10092020 11244780 11805972 14757465 15138030 17708958 18165636 19676620 22707045 29514930 30276060 35417916 44272395 45414090 59029860 88544790 90828180 176105749 177089580 352211498 528317247 704422996 880528745 1056634494 1584951741 1761057490 2113268988 2641586235 3169903482 3522114980 5283172470 6339806964 7924758705 10566344940 15849517410 31699034820