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31775315137420 = 2252928945746447
BaseRepresentation
bin1110011100110010001000…
…10111110001001110001100
311011111200122100022222102011
413032121010113301032030
513131101321133344140
6151325213411511004
76456455634153001
oct716310427611614
9134450570288364
1031775315137420
11a140921018068
1236923288b8464
131496526518a9a
147bbd0d5a58a8
153a183765dcea
hex1ce6445f138c

31775315137420 has 144 divisors (see below), whose sum is σ = 70039405537920. Its totient is φ = 12107147931648.

The previous prime is 31775315137417. The next prime is 31775315137459. The reversal of 31775315137420 is 2473151357713.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684096637 + ... + 684143083.

It is an arithmetic number, because the mean of its divisors is an integer number (486384760680).

Almost surely, 231775315137420 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 31775315137420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35019702768960).

31775315137420 is an abundant number, since it is smaller than the sum of its proper divisors (38264090400500).

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

31775315137420 is a wasteful number, since it uses less digits than its factorization.

31775315137420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47060 (or 47029 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 49.

The spelling of 31775315137420 in words is "thirty-one trillion, seven hundred seventy-five billion, three hundred fifteen million, one hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 457 580 841 890 914 1682 1780 1828 2285 2581 3364 4205 4570 5162 8410 9140 10324 12905 13253 16820 25810 26506 40673 46447 51620 53012 66265 74849 81346 92894 132530 149698 162692 185788 203365 232235 265060 299396 374245 384337 406730 464470 748490 768674 813460 928940 1179517 1346963 1496980 1537348 1921685 2359034 2693926 3843370 4133783 4718068 5387852 5897585 6734815 7686740 8267566 11795170 13469630 16535132 20668915 21226279 23590340 26939260 34205993 39061927 41337830 42452558 68411986 78123854 82675660 84905116 106131395 119879707 136823972 156247708 171029965 195309635 212262790 239759414 342059930 390619270 424525580 479518828 599398535 615562091 684119860 781238540 1198797070 1231124182 1889138831 2397594140 2462248364 3077810455 3476511503 3778277662 6155620910 6953023006 7556555324 9445694155 12311241820 13906046012 17382557515 17851300639 18891388310 34765115030 35702601278 37782776620 54785026099 69530230060 71405202556 89256503195 109570052198 178513006390 219140104396 273925130495 357026012780 547850260990 1095700521980 1588765756871 3177531513742 6355063027484 7943828784355 15887657568710 31775315137420