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2496123616 = 257531671259
BaseRepresentation
bin1001010011000111…
…1101001011100000
320102221220012212211
42110301331023200
520103001423431
61051404331504
7115566462220
oct22461751340
96387805784
102496123616
111070aa6688
12597b43b94
1330a1a2c2c
14199722080
15e92122b1
hex94c7d2e0

2496123616 has 96 divisors (see below), whose sum is σ = 5761082880. Its totient is φ = 1042469376.

The previous prime is 2496123607. The next prime is 2496123671. The reversal of 2496123616 is 6163216942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981995 + ... + 1983253.

It is an arithmetic number, because the mean of its divisors is an integer number (60011280).

Almost surely, 22496123616 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 2496123616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880541440).

2496123616 is an abundant number, since it is smaller than the sum of its proper divisors (3264959264).

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

2496123616 is a wasteful number, since it uses less digits than its factorization.

2496123616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 2496123616 is about 49961.2211219862. The cubic root of 2496123616 is about 1356.5069704254.

The spelling of 2496123616 in words is "two billion, four hundred ninety-six million, one hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 167 212 224 334 371 424 668 742 848 1169 1259 1336 1484 1696 2338 2518 2672 2968 4676 5036 5344 5936 8813 8851 9352 10072 11872 17626 17702 18704 20144 35252 35404 37408 40288 61957 66727 70504 70808 123914 133454 141008 141616 210253 247828 266908 282016 283232 420506 467089 495656 533816 841012 934178 991312 1067632 1471771 1682024 1868356 1982624 2135264 2943542 3364048 3736712 5887084 6728096 7473424 11143409 11774168 14946848 22286818 23548336 44573636 47096672 78003863 89147272 156007726 178294544 312015452 356589088 624030904 1248061808 2496123616