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16274920950 = 2345231129629
BaseRepresentation
bin11110010100000111…
…11001010111110110
31120000020010122110000
433022003321113312
5231312334432300
611250540012130
71114210355061
oct171203712766
946006118400
1016274920950
1169a184aaa2
1231a2531046
1316c4a12b52
14b056978d8
15653bedc00
hex3ca0f95f6

16274920950 has 120 divisors (see below), whose sum is σ = 46679244480. Its totient is φ = 4199947200.

The previous prime is 16274920943. The next prime is 16274920951. The reversal of 16274920950 is 5902947261.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 16274920896 and 16274920905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16274920951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 60736 + ... + 190364.

It is an arithmetic number, because the mean of its divisors is an integer number (388993704).

Almost surely, 216274920950 is an apocalyptic number.

16274920950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16274920950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23339622240).

16274920950 is an abundant number, since it is smaller than the sum of its proper divisors (30404323530).

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

16274920950 is a wasteful number, since it uses less digits than its factorization.

16274920950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129684 (or 129670 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 16274920950 in words is "sixteen billion, two hundred seventy-four million, nine hundred twenty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 81 90 93 135 150 155 162 186 225 270 279 310 405 450 465 558 675 775 810 837 930 1350 1395 1550 1674 2025 2325 2511 2790 4050 4185 4650 5022 6975 8370 12555 13950 20925 25110 41850 62775 125550 129629 259258 388887 648145 777774 1166661 1296290 1944435 2333322 3240725 3499983 3888870 4018499 5833305 6481450 6999966 8036998 9722175 10499949 11666610 12055497 17499915 19444350 20092495 20999898 24110994 29166525 34999830 36166491 40184990 52499745 58333050 60277485 72332982 87499575 100462475 104999490 108499473 120554970 174999150 180832455 200924950 216998946 262498725 301387425 325498419 361664910 524997450 542497365 602774850 650996838 904162275 1084994730 1627492095 1808324550 2712486825 3254984190 5424973650 8137460475 16274920950