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16499400048 = 24321761110491
BaseRepresentation
bin11110101110111000…
…01101110101110000
31120120212112100212200
433113130031311300
5232242321300143
611325115223200
71122604405065
oct172734156560
946525470780
1016499400048
116aa753250a
123245747b00
13172c38b211
14b2740cc6c
156687911d3
hex3d770dd70

16499400048 has 120 divisors (see below), whose sum is σ = 49693556016. Its totient is φ = 5091379200.

The previous prime is 16499399999. The next prime is 16499400077. The reversal of 16499400048 is 84000499461.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16499399976 and 16499400012.

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, 94083 + ... + 204573.

Almost surely, 216499400048 is an apocalyptic number.

16499400048 is a gapful number since it is divisible by the number (18) 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 16499400048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24846778008).

16499400048 is an abundant number, since it is smaller than the sum of its proper divisors (33194155968).

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

16499400048 is a wasteful number, since it uses less digits than its factorization.

16499400048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110583 (or 110574 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16499400048 in words is "sixteen billion, four hundred ninety-nine million, four hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 61 68 72 102 122 136 144 153 183 204 244 272 306 366 408 488 549 612 732 816 976 1037 1098 1224 1464 2074 2196 2448 2928 3111 4148 4392 6222 8296 8784 9333 12444 16592 18666 24888 37332 49776 74664 110491 149328 220982 331473 441964 662946 883928 994419 1325892 1767856 1878347 1988838 2651784 3756694 3977676 5303568 5635041 6739951 7513388 7955352 11270082 13479902 15026776 15910704 16905123 20219853 22540164 26959804 30053552 33810246 40439706 45080328 53919608 60659559 67620492 80879412 90160656 107839216 114579167 121319118 135240984 161758824 229158334 242638236 270481968 323517648 343737501 458316668 485276472 687475002 916633336 970552944 1031212503 1374950004 1833266672 2062425006 2749900008 4124850012 5499800016 8249700024 16499400048