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2494124136 = 233474113411
BaseRepresentation
bin1001010010101001…
…0101000001101000
320102211010122010000
42110222111001220
520101443433021
61051253423000
7115543463640
oct22452250150
96384118100
102494124136
11106a960419
1259733aa60
13309952aca
14199361520
15e8e69b26
hex94a95068

2494124136 has 160 divisors (see below), whose sum is σ = 8179174080. Its totient is φ = 695174400.

The previous prime is 2494124131. The next prime is 2494124147. The reversal of 2494124136 is 6314214942.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2494124136.

It is not an unprimeable number, because it can be changed into a prime (2494124131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179271 + ... + 192681.

It is an arithmetic number, because the mean of its divisors is an integer number (51119838).

Almost surely, 22494124136 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 2494124136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089587040).

2494124136 is an abundant number, since it is smaller than the sum of its proper divisors (5685049944).

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

2494124136 is a wasteful number, since it uses less digits than its factorization.

2494124136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13477 (or 13464 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2494124136 is about 49941.2067935888. The cubic root of 2494124136 is about 1356.1446709143.

The spelling of 2494124136 in words is "two billion, four hundred ninety-four million, one hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 108 123 126 162 164 168 189 216 246 252 287 324 328 369 378 492 504 567 574 648 738 756 861 984 1107 1134 1148 1476 1512 1722 2214 2268 2296 2583 2952 3321 3444 4428 4536 5166 6642 6888 7749 8856 10332 13284 13411 15498 20664 23247 26568 26822 30996 40233 46494 53644 61992 80466 92988 93877 107288 120699 160932 185976 187754 241398 281631 321864 362097 375508 482796 549851 563262 724194 751016 844893 965592 1086291 1099702 1126524 1448388 1649553 1689786 2172582 2199404 2253048 2534679 2896776 3299106 3379572 3848957 4345164 4398808 4948659 5069358 6598212 6759144 7604037 7697914 8690328 9897318 10138716 11546871 13196424 14845977 15208074 15395828 19794636 20277432 23093742 29691954 30416148 30791656 34640613 39589272 44537931 46187484 59383908 60832296 69281226 89075862 92374968 103921839 118767816 138562452 178151724 207843678 277124904 311765517 356303448 415687356 623531034 831374712 1247062068 2494124136