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12931701480 = 23325112931817
BaseRepresentation
bin11000000101100101…
…00001101011101000
31020101020021111111200
430002302201223220
5202441003421410
65535111124200
7635313435405
oct140262415350
936336244450
1012931701480
1155366767a5
12260a973660
1312b11aa789
148a966b2ac
1550a4603c0
hex302ca1ae8

12931701480 has 96 divisors (see below), whose sum is σ = 42066577800. Its totient is φ = 3445291008.

The previous prime is 12931701469. The next prime is 12931701481. The reversal of 12931701480 is 8410713921.

It is a happy number.

12931701480 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 170 + 1 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10183635396 + 2748066084 = 100914^2 + 52422^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12931701481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390532 + ... + 422348.

Almost surely, 212931701480 is an apocalyptic number.

12931701480 is a gapful number since it is divisible by the number (10) 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 12931701480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21033288900).

12931701480 is an abundant number, since it is smaller than the sum of its proper divisors (29134876320).

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

12931701480 is a wasteful number, since it uses less digits than its factorization.

12931701480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32963 (or 32956 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12931701480 in words is "twelve billion, nine hundred thirty-one million, seven hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1129 2258 3387 4516 5645 6774 9032 10161 11290 13548 16935 20322 22580 27096 31817 33870 40644 45160 50805 63634 67740 81288 95451 101610 127268 135480 159085 190902 203220 254536 286353 318170 381804 406440 477255 572706 636340 763608 954510 1145412 1272680 1431765 1909020 2290824 2863530 3818040 5727060 11454120 35921393 71842786 107764179 143685572 179606965 215528358 287371144 323292537 359213930 431056716 538820895 646585074 718427860 862113432 1077641790 1293170148 1436855720 1616462685 2155283580 2586340296 3232925370 4310567160 6465850740 12931701480