Search a number
-
+
10204061466564 = 2232740492307407
BaseRepresentation
bin1001010001111101000101…
…1101010111111111000100
31100010111110120212211001100
42110133101131113333010
52314140404213412224
633411403042300100
72102135104240560
oct224372135277704
940114416784040
1010204061466564
113284577751159
121189747657630
13590314a3a744
14273c447a46a0
1512a66ec2eac9
hex947d1757fc4

10204061466564 has 36 divisors (see below), whose sum is σ = 29478399793024. Its totient is φ = 2915446133232.

The previous prime is 10204061466563. The next prime is 10204061466569. The reversal of 10204061466564 is 46566416040201.

10204061466564 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 40 + 6 + 1 + 46 + 6 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10204061466563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20246153452 + ... + 20246153955.

Almost surely, 210204061466564 is an apocalyptic number.

10204061466564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10204061466564 is an abundant number, since it is smaller than the sum of its proper divisors (19274338326460).

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

10204061466564 is a wasteful number, since it uses less digits than its factorization.

10204061466564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40492307424 (or 40492307419 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10204061466564 in words is "ten trillion, two hundred four billion, sixty-one million, four hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 40492307407 80984614814 121476922221 161969229628 242953844442 283446151849 364430766663 485907688884 566892303698 728861533326 850338455547 1133784607396 1457723066652 1700676911094 2551015366641 3401353822188 5102030733282 10204061466564