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12434491480 = 235194129733
BaseRepresentation
bin10111001010010011…
…10100100001011000
31012002120200121121111
423211021310201120
5200431212211410
65413510150104
7620065301515
oct134511644130
935076617544
1012434491480
115300a45544
1224b0352334
131232191588
1485d60030c
154cb998b8a
hex2e5274858

12434491480 has 96 divisors (see below), whose sum is σ = 30189027600. Its totient is φ = 4596618240.

The previous prime is 12434491463. The next prime is 12434491523. The reversal of 12434491480 is 8419443421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272694 + ... + 1282426.

Almost surely, 212434491480 is an apocalyptic number.

12434491480 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 12434491480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094513800).

12434491480 is an abundant number, since it is smaller than the sum of its proper divisors (17754536120).

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

12434491480 is a wasteful number, since it uses less digits than its factorization.

12434491480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 12434491480 in words is "twelve billion, four hundred thirty-four million, four hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 1681 3116 3362 3895 6232 6724 7790 8405 9733 13448 15580 16810 19466 31160 31939 33620 38932 48665 63878 67240 77864 97330 127756 159695 184927 194660 255512 319390 369854 389320 399053 638780 739708 798106 924635 1277560 1479416 1596212 1849270 1995265 3192424 3698540 3990530 7397080 7582007 7981060 15164014 15962120 16361173 30328028 32722346 37910035 60656056 65444692 75820070 81805865 130889384 151640140 163611730 303280280 310862287 327223460 621724574 654446920 1243449148 1554311435 2486898296 3108622870 6217245740 12434491480