Search a number
-
+
8300641151052 = 22321015993811193
BaseRepresentation
bin111100011001010010011…
…0001000110100001001100
31002101112101221202021111200
41320302210301012201030
52041444203113313202
625353132323145500
71514462424431625
oct170624461064114
932345357667450
108300641151052
112710311594838
12b20877b15290
134829934c9093
14209a789daa4c
15e5dbaa6ee1c
hex78ca4c4684c

8300641151052 has 72 divisors (see below), whose sum is σ = 21225301624800. Its totient is φ = 2734911379200.

The previous prime is 8300641151051. The next prime is 8300641151057. The reversal of 8300641151052 is 2501511460038.

8300641151052 is a `hidden beast` number, since 8 + 3 + 0 + 0 + 641 + 1 + 5 + 1 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8300641150998 and 8300641151016.

It is not an unprimeable number, because it can be changed into a prime (8300641151051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272368 + ... + 4083560.

It is an arithmetic number, because the mean of its divisors is an integer number (294795855900).

Almost surely, 28300641151052 is an apocalyptic number.

It is an amenable number.

8300641151052 is an abundant number, since it is smaller than the sum of its proper divisors (12924660473748).

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

8300641151052 is a wasteful number, since it uses less digits than its factorization.

8300641151052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811903 (or 3811898 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 8300641151052 in words is "eight trillion, three hundred billion, six hundred forty-one million, one hundred fifty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 599 606 909 1198 1212 1797 1818 2396 3594 3636 5391 7188 10782 21564 60499 120998 181497 241996 362994 544491 725988 1088982 2177964 3811193 7622386 11433579 15244772 22867158 34300737 45734316 68601474 137202948 384930493 769860986 1154791479 1539721972 2282904607 2309582958 3464374437 4565809214 4619165916 6848713821 6928748874 9131618428 13697427642 13857497748 20546141463 27394855284 41092282926 82184565852 230573365307 461146730614 691720095921 922293461228 1383440191842 2075160287763 2766880383684 4150320575526 8300641151052