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83730458112 = 293719733947
BaseRepresentation
bin100110111111010111…
…0010110011000000000
322000010022121222111020
41031332232112120000
52332434444124422
6102244254145440
76022630102530
oct1157656263000
9260108558436
1083730458112
113256772a514
12142891b2280
137b84c61092
1440a43a74c0
1522a0c4e95c
hex137eb96600

83730458112 has 160 divisors (see below), whose sum is σ = 255123171072. Its totient is φ = 23904804864.

The previous prime is 83730458111. The next prime is 83730458131. The reversal of 83730458112 is 21185403738.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83730458111) 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, 21211723 + ... + 21215669.

Almost surely, 283730458112 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 83730458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127561585536).

83730458112 is an abundant number, since it is smaller than the sum of its proper divisors (171392712960).

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

83730458112 is a wasteful number, since it uses less digits than its factorization.

83730458112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 83730458112 in words is "eighty-three billion, seven hundred thirty million, four hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 1973 2688 3584 3946 3947 5376 5919 7892 7894 10752 11838 11841 13811 15784 15788 23676 23682 27622 27629 31568 31576 41433 47352 47364 55244 55258 63136 63152 82866 82887 94704 94728 110488 110516 126272 126304 165732 165774 189408 189456 220976 221032 252544 252608 331464 331548 378816 378912 441952 442064 505088 505216 662928 663096 757632 757824 883904 884128 1010176 1010432 1325856 1326192 1515264 1515648 1767808 1768256 2020864 2651712 2652384 3030528 3031296 3535616 3536512 5303424 5304768 6062592 7071232 7073024 7787431 10606848 10609536 14146048 15574862 21213696 21219072 23362293 31149724 42438144 46724586 54512017 62299448 93449172 109024034 124598896 163536051 186898344 218048068 249197792 327072102 373796688 436096136 498395584 654144204 747593376 872192272 996791168 1308288408 1495186752 1744384544 1993582336 2616576816 2990373504 3488769088 3987164672 5233153632 5980747008 6977538176 10466307264 11961494016 13955076352 20932614528 27910152704 41865229056 83730458112