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31446052820 = 225721319112923
BaseRepresentation
bin11101010010010101…
…001010111111010100
310000011112021222220222
4131102111022333110
51003400142142240
622240210013512
72162156016200
oct352225127724
9100145258828
1031446052820
1112377527a06
126117277298
132c71b49460
141744507b00
15c40a68eb5
hex75254afd4

31446052820 has 144 divisors (see below), whose sum is σ = 83166870528. Its totient is φ = 9899285760.

The previous prime is 31446052819. The next prime is 31446052823. The reversal of 31446052820 is 2825064413.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31446052823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2426879 + ... + 2439801.

It is an arithmetic number, because the mean of its divisors is an integer number (577547712).

Almost surely, 231446052820 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 31446052820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41583435264).

31446052820 is an abundant number, since it is smaller than the sum of its proper divisors (51720817708).

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

31446052820 is a wasteful number, since it uses less digits than its factorization.

31446052820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 31446052820 in words is "thirty-one billion, four hundred forty-six million, fifty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 191 196 245 260 364 382 455 490 637 764 910 955 980 1274 1337 1820 1910 2483 2548 2674 3185 3820 4966 5348 6370 6685 9359 9932 12415 12740 12923 13370 17381 18718 24830 25846 26740 34762 37436 46795 49660 51692 64615 69524 86905 90461 93590 121667 129230 167999 173810 180922 187180 243334 258460 335998 347620 361844 452305 486668 608335 633227 671996 839995 904610 1175993 1216670 1266454 1679990 1809220 2351986 2433340 2468293 2532908 3166135 3359980 4703972 4936586 5879965 6332270 8231951 9873172 11759930 12341465 12664540 16463902 17278051 23519860 24682930 32087809 32927804 34556102 41159755 49365860 64175618 69112204 82319510 86390255 120946357 128351236 160439045 164639020 172780510 224614663 241892714 320878090 345561020 449229326 483785428 604731785 641756180 898458652 1123073315 1209463570 1572302641 2246146630 2418927140 3144605282 4492293260 6289210564 7861513205 15723026410 31446052820