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115042456530 = 23256746740853
BaseRepresentation
bin110101100100100010…
…0001001001111010010
3101222221111200022100100
41223021010021033102
53341101332102110
6124503315033230
711211600513621
oct1531104111722
9358844608310
10115042456530
1144875516361
121a36759b816
13ab050a24b1
1457d4b776b8
152ed4b38bc0
hex1ac91093d2

115042456530 has 96 divisors (see below), whose sum is σ = 304232220864. Its totient is φ = 30154658688.

The previous prime is 115042456513. The next prime is 115042456531. The reversal of 115042456530 is 35654240511.

115042456530 is a `hidden beast` number, since 1 + 1 + 50 + 4 + 24 + 56 + 530 = 666.

115042456530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (115042456531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2795584 + ... + 2836436.

It is an arithmetic number, because the mean of its divisors is an integer number (3169085634).

Almost surely, 2115042456530 is an apocalyptic number.

115042456530 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 115042456530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152116110432).

115042456530 is an abundant number, since it is smaller than the sum of its proper divisors (189189764334).

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

115042456530 is a wasteful number, since it uses less digits than its factorization.

115042456530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41400 (or 41397 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 115042456530 in words is "one hundred fifteen billion, forty-two million, four hundred fifty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 467 603 670 934 1005 1206 1401 2010 2335 2802 3015 4203 4670 6030 7005 8406 14010 21015 31289 40853 42030 62578 81706 93867 122559 156445 187734 204265 245118 281601 312890 367677 408530 469335 563202 612795 735354 938670 1225590 1408005 1838385 2737151 2816010 3676770 5474302 8211453 13685755 16422906 19078351 24634359 27371510 38156702 41057265 49268718 57235053 82114530 95391755 114470106 123171795 171705159 190783510 246343590 286175265 343410318 572350530 858525795 1278249517 1717051590 2556499034 3834748551 6391247585 7669497102 11504245653 12782495170 19173742755 23008491306 38347485510 57521228265 115042456530