Search a number
-
+
20462264400 = 2435217051887
BaseRepresentation
bin10011000011101001…
…010110000001010000
31221211001100201210110
4103003221112001100
5313401314430100
613222241201320
71323034243344
oct230351260120
957731321713
1020462264400
118750462116
123b70930240
131c113a9a76
14dc1857624
157eb62d250
hex4c3a56050

20462264400 has 60 divisors (see below), whose sum is σ = 65547457472. Its totient is φ = 5456603520.

The previous prime is 20462264393. The next prime is 20462264413. The reversal of 20462264400 is 446226402.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8524744 + ... + 8527143.

Almost surely, 220462264400 is an apocalyptic number.

20462264400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20462264400 is an abundant number, since it is smaller than the sum of its proper divisors (45085193072).

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

20462264400 is a wasteful number, since it uses less digits than its factorization.

20462264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17051908 (or 17051897 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 20462264400 in words is "twenty billion, four hundred sixty-two million, two hundred sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17051887 34103774 51155661 68207548 85259435 102311322 136415096 170518870 204622644 255778305 272830192 341037740 409245288 426297175 511556610 682075480 818490576 852594350 1023113220 1278891525 1364150960 1705188700 2046226440 2557783050 3410377400 4092452880 5115566100 6820754800 10231132200 20462264400