Search a number
-
+
1952694967008 = 253171196504269
BaseRepresentation
bin11100011010100101101…
…100001001101011100000
320220200020200002012002010
4130122211230021223200
5223443104402421013
64053020005552520
7261035413234002
oct34324554115340
96820220065063
101952694967008
116931514473a5
12276541715740
131121a4c382a6
146a722042372
1535bda0267c3
hex1c6a5b09ae0

1952694967008 has 48 divisors (see below), whose sum is σ = 5427343368720. Its totient is φ = 612610185216.

The previous prime is 1952694966997. The next prime is 1952694967009. The reversal of 1952694967008 is 8007694962591.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1952694967008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952694967009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598250503 + ... + 598253766.

It is an arithmetic number, because the mean of its divisors is an integer number (113069653515).

Almost surely, 21952694967008 is an apocalyptic number.

It is an amenable number.

1952694967008 is an abundant number, since it is smaller than the sum of its proper divisors (3474648401712).

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

1952694967008 is a wasteful number, since it uses less digits than its factorization.

1952694967008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196504299 (or 1196504291 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 1952694967008 in words is "one trillion, nine hundred fifty-two billion, six hundred ninety-four million, nine hundred sixty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1196504269 2393008538 3589512807 4786017076 7179025614 9572034152 14358051228 19144068304 20340572573 28716102456 38288136608 40681145146 57432204912 61021717719 81362290292 114864409824 122043435438 162724580584 244086870876 325449161168 488173741752 650898322336 976347483504 1952694967008