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2023217350416 = 243253444159693
BaseRepresentation
bin11101011100010001001…
…001101100011100010000
321011102021111101110021100
4131130101021230130100
5231122022120203131
64145241521224400
7266113132504233
oct35342111543420
97142244343240
102023217350416
117100504a3899
12288143492100
13118a33673c42
146dcd219941a
15379664227e6
hex1d71126c710

2023217350416 has 120 divisors (see below), whose sum is σ = 5770428197976. Its totient is φ = 661521070080.

The previous prime is 2023217350373. The next prime is 2023217350421. The reversal of 2023217350416 is 6140537123202.

2023217350416 is a `hidden beast` number, since 2 + 0 + 23 + 2 + 173 + 50 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25223792400 + 1997993558016 = 158820^2 + 1413504^2 .

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

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, 33863866 + ... + 33923558.

Almost surely, 22023217350416 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 2023217350416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885214098988).

2023217350416 is an abundant number, since it is smaller than the sum of its proper divisors (3747210847560).

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

2023217350416 is a wasteful number, since it uses less digits than its factorization.

2023217350416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64201 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2023217350416 in words is "two trillion, twenty-three billion, two hundred seventeen million, three hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 4441 7632 8882 13323 17764 26646 35528 39969 53292 59693 71056 79938 106584 119386 159876 179079 213168 235373 238772 319752 358158 470746 477544 537237 639504 706119 716316 941492 955088 1074474 1412238 1432632 1882984 2118357 2148948 2824476 2865264 3163729 3765968 4236714 4297896 5648952 6327458 8473428 8595792 9491187 11297904 12654916 16946856 18982374 25309832 28473561 33893712 37964748 50619664 56947122 75929496 113894244 151858992 227788488 265096613 455576976 530193226 795289839 1060386452 1590579678 2120772904 2385869517 3181159356 4241545808 4771739034 6362318712 9543478068 12724637424 14050120489 19086956136 28100240978 38173912272 42150361467 56200481956 84300722934 112400963912 126451084401 168601445868 224801927824 252902168802 337202891736 505804337604 674405783472 1011608675208 2023217350416