Search a number
-
+
1051674923664 = 243253892835471
BaseRepresentation
bin11110100110111001011…
…01011101001010010000
310201112120000220112102200
433103130231131022100
5114212312240024124
62123044403243200
7135660325233111
oct17233455351220
93645500815380
101051674923664
11376016093982
1214b9a3979500
1378232044c51
1438c893b2208
151c5531a9bc9
hexf4dcb5d290

1051674923664 has 240 divisors, whose sum is σ = 3043727331840. Its totient is φ = 338815825920.

The previous prime is 1051674923657. The next prime is 1051674923669. The reversal of 1051674923664 is 4663294761501.

It is a happy number.

1051674923664 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 67 + 492 + 36 + 64 = 666.

It is a super-2 number, since 2×10516749236642 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1051674923664.

It is not an unprimeable number, because it can be changed into a prime (1051674923669) 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, 192224449 + ... + 192229919.

It is an arithmetic number, because the mean of its divisors is an integer number (12682197216).

Almost surely, 21051674923664 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 1051674923664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521863665920).

1051674923664 is an abundant number, since it is smaller than the sum of its proper divisors (1992052408176).

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

1051674923664 is a wasteful number, since it uses less digits than its factorization.

1051674923664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1051674923664 in words is "one trillion, fifty-one billion, six hundred seventy-four million, nine hundred twenty-three thousand, six hundred sixty-four".