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19340085312 = 263322674937
BaseRepresentation
bin10010000000110000…
…100100100001000000
31211220211210010111000
4102000300210201000
5304102030212222
612515033052000
71253160004242
oct220060444100
954824703430
1019340085312
118224a79389
1238b8b57000
131a92a61b82
14d167c4092
15782d659ac
hex480c24840

19340085312 has 112 divisors (see below), whose sum is σ = 56892870720. Its totient is φ = 6442546176.

The previous prime is 19340085311. The next prime is 19340085341. The reversal of 19340085312 is 21358004391.

19340085312 is a `hidden beast` number, since 193 + 400 + 8 + 53 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (19340085311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3914908 + ... + 3919844.

It is an arithmetic number, because the mean of its divisors is an integer number (507972060).

Almost surely, 219340085312 is an apocalyptic number.

19340085312 is a gapful number since it is divisible by the number (12) 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 19340085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28446435360).

19340085312 is an abundant number, since it is smaller than the sum of its proper divisors (37552785408).

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

19340085312 is a wasteful number, since it uses less digits than its factorization.

19340085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19340085312 in words is "nineteen billion, three hundred forty million, eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2267 4534 4937 6801 9068 9874 13602 14811 18136 19748 20403 27204 29622 36272 39496 40806 44433 54408 59244 61209 72544 78992 81612 88866 108816 118488 122418 133299 145088 157984 163224 177732 217632 236976 244836 266598 315968 326448 355464 435264 473952 489672 533196 652896 710928 947904 979344 1066392 1305792 1421856 1958688 2132784 2843712 3917376 4265568 8531136 11192179 22384358 33576537 44768716 67153074 89537432 100729611 134306148 179074864 201459222 268612296 302188833 358149728 402918444 537224592 604377666 716299456 805836888 1074449184 1208755332 1611673776 2148898368 2417510664 3223347552 4835021328 6446695104 9670042656 19340085312