Search a number
-
+
22994713289664 = 2632233894119163
BaseRepresentation
bin1010011101001110111111…
…01101111010001111000000
310000102021101002212001220100
411032213133231322033000
511003221133100232124
6120523343033042400
74562212301002224
oct516473755721700
9100367332761810
1022994713289664
1173660041aa016
1226b4642b56400
13caa51375b26c
14596d42d7c784
1529d22a3dc1c9
hex14e9dfb7a3c0

22994713289664 has 168 divisors, whose sum is σ = 66203928106992. Its totient is φ = 7630756024320.

The previous prime is 22994713289657. The next prime is 22994713289677. The reversal of 22994713289664 is 46698231749922.

22994713289664 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 471 + 3 + 2 + 8 + 96 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22994713289592 and 22994713289601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199944147 + ... + 1199963309.

Almost surely, 222994713289664 is an apocalyptic number.

22994713289664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22994713289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33101964053496).

22994713289664 is an abundant number, since it is smaller than the sum of its proper divisors (43209214817328).

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

22994713289664 is a wasteful number, since it uses less digits than its factorization.

22994713289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28355 (or 28342 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 22994713289664 in words is "twenty-two trillion, nine hundred ninety-four billion, seven hundred thirteen million, two hundred eighty-nine thousand, six hundred sixty-four".