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1468457694 = 23311320431
BaseRepresentation
bin101011110000110…
…1110001011011110
310210100011101021000
41113201232023132
511001411121234
6401414051130
751250453524
oct12741561336
93710141230
101468457694
116939a7000
1234b949aa6
131a52ca2a2
14dd052314
1588db8899
hex5786e2de

1468457694 has 64 divisors (see below), whose sum is σ = 3589493760. Its totient is φ = 444965400.

The previous prime is 1468457689. The next prime is 1468457723. The reversal of 1468457694 is 4967548641.

1468457694 is a `hidden beast` number, since 1 + 4 + 68 + 4 + 576 + 9 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1468457694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61659 + ... + 82089.

It is an arithmetic number, because the mean of its divisors is an integer number (56085840).

Almost surely, 21468457694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468457694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794746880).

1468457694 is an abundant number, since it is smaller than the sum of its proper divisors (2121036066).

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

1468457694 is a wasteful number, since it uses less digits than its factorization.

1468457694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20475 (or 20447 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 1468457694 is about 38320.4605139343. The cubic root of 1468457694 is about 1136.6335728601.

The spelling of 1468457694 in words is "one billion, four hundred sixty-eight million, four hundred fifty-seven thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1331 2178 2662 3267 3993 6534 7986 11979 20431 23958 35937 40862 61293 71874 122586 183879 224741 367758 449482 551637 674223 1103274 1348446 2022669 2472151 4045338 4944302 6068007 7416453 12136014 14832906 22249359 27193661 44498718 54387322 66748077 81580983 133496154 163161966 244742949 489485898 734228847 1468457694