Search a number
-
+
1249829161780 = 2254311317971849
BaseRepresentation
bin10010001011111111100…
…111111000101100110100
311102111000202001210121211
4102023333213320230310
5130434122231134110
62354055200251204
7156203634406123
oct22137747705464
94374022053554
101249829161780
1144205aa84931
12182285310b04
1390b20b40a14
14446c62a7aba
152279e58698a
hex122ff9f8b34

1249829161780 has 96 divisors (see below), whose sum is σ = 2724620976000. Its totient is φ = 481273540608.

The previous prime is 1249829161771. The next prime is 1249829161783. The reversal of 1249829161780 is 871619289421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249829161783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17359296 + ... + 17431144.

It is an arithmetic number, because the mean of its divisors is an integer number (28381468500).

Almost surely, 21249829161780 is an apocalyptic number.

1249829161780 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 1249829161780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362310488000).

1249829161780 is an abundant number, since it is smaller than the sum of its proper divisors (1474791814220).

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

1249829161780 is a wasteful number, since it uses less digits than its factorization.

1249829161780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72193 (or 72191 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 1249829161780 in words is "one trillion, two hundred forty-nine billion, eight hundred twenty-nine million, one hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 113 172 179 215 226 358 430 452 565 716 860 895 1130 1790 2260 3580 4859 7697 9718 15394 19436 20227 24295 30788 38485 40454 48590 71849 76970 80908 97180 101135 143698 153940 202270 287396 359245 404540 718490 869761 1436980 1739522 3089507 3479044 4348805 6179014 8118937 8697610 12358028 12860971 15447535 16237874 17395220 25721942 30895070 32475748 40594685 51443884 61790140 64304855 81189370 128609710 162378740 257219420 349114291 553021753 698228582 1106043506 1396457164 1453289723 1745571455 2212087012 2765108765 2906579446 3491142910 5530217530 5813158892 6982285820 7266448615 11060435060 14532897230 29065794460 62491458089 124982916178 249965832356 312457290445 624914580890 1249829161780