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19850150656 = 28741733701
BaseRepresentation
bin10010011111001010…
…010100001100000000
31220020101120010121001
4102133022110030000
5311123114310111
613041413341344
71301622332230
oct223712241400
956211503531
1019850150656
11846698aa96
123a1b937854
131b4462c49b
14d64439cc0
157b2a1b1c1
hex49f294300

19850150656 has 144 divisors (see below), whose sum is σ = 47035775808. Its totient is φ = 8183808000.

The previous prime is 19850150653. The next prime is 19850150669. The reversal of 19850150656 is 65605105891.

It is not an unprimeable number, because it can be changed into a prime (19850150651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5361606 + ... + 5365306.

It is an arithmetic number, because the mean of its divisors is an integer number (326637332).

Almost surely, 219850150656 is an apocalyptic number.

19850150656 is a gapful number since it is divisible by the number (16) 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 19850150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517887904).

19850150656 is an abundant number, since it is smaller than the sum of its proper divisors (27185625152).

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

19850150656 is an equidigital number, since it uses as much as digits as its factorization.

19850150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 46.

The spelling of 19850150656 in words is "nineteen billion, eight hundred fifty million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 73 82 112 128 146 164 224 256 287 292 328 448 511 574 584 656 896 1022 1148 1168 1312 1792 2044 2296 2336 2624 2993 3701 4088 4592 4672 5248 5986 7402 8176 9184 9344 10496 11972 14804 16352 18368 18688 20951 23944 25907 29608 32704 36736 41902 47888 51814 59216 65408 73472 83804 95776 103628 118432 130816 151741 167608 191552 207256 236864 270173 303482 335216 383104 414512 473728 540346 606964 670432 766208 829024 947456 1062187 1080692 1213928 1340864 1658048 1891211 2124374 2161384 2427856 2681728 3316096 3782422 4248748 4322768 4855712 5363456 6632192 7564844 8497496 8645536 9711424 11077093 15129688 16994992 17291072 19422848 22154186 30259376 33989984 34582144 38845696 44308372 60518752 67979968 69164288 77539651 88616744 121037504 135959936 155079302 177233488 242075008 271919872 310158604 354466976 484150016 620317208 708933952 1240634416 1417867904 2481268832 2835735808 4962537664 9925075328 19850150656