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5826074112 = 29328315233
BaseRepresentation
bin1010110110100001…
…01101011000000000
3120001000210020012200
411123100231120000
543412433332422
62402040553200
7264242545545
oct53320553000
916030706180
105826074112
11251a737791
121167182800
1371b040841
143d3a96bcc
1524172e2ac
hex15b42d600

5826074112 has 120 divisors (see below), whose sum is σ = 17018145144. Its totient is φ = 1918500864.

The previous prime is 5826074077. The next prime is 5826074113. The reversal of 5826074112 is 2114706285.

5826074112 is a `hidden beast` number, since 5 + 8 + 2 + 607 + 41 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5826074113) 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 11 ways as a sum of consecutive naturals, for example, 374848 + ... + 390080.

Almost surely, 25826074112 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 5826074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509072572).

5826074112 is an abundant number, since it is smaller than the sum of its proper divisors (11192071032).

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

5826074112 is a wasteful number, since it uses less digits than its factorization.

5826074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340 (or 15321 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5826074112 is about 76328.7240296862. The cubic root of 5826074112 is about 1799.3901341328.

The spelling of 5826074112 in words is "five billion, eight hundred twenty-six million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1152 1328 1494 1536 1992 2304 2656 2988 3984 4608 5312 5976 7968 10624 11952 15233 15936 21248 23904 30466 31872 42496 45699 47808 60932 63744 91398 95616 121864 127488 137097 182796 191232 243728 274194 365592 382464 487456 548388 731184 974912 1096776 1264339 1462368 1949824 2193552 2528678 2924736 3793017 3899648 4387104 5057356 5849472 7586034 7799296 8774208 10114712 11379051 11698944 15172068 17548416 20229424 22758102 23397888 30344136 35096832 40458848 45516204 60688272 70193664 80917696 91032408 121376544 161835392 182064816 242753088 323670784 364129632 485506176 647341568 728259264 971012352 1456518528 1942024704 2913037056 5826074112