Search a number
-
+
20746152924 = 2237299135603
BaseRepresentation
bin10011010100100100…
…010010101111011100
31222112211112202122020
4103110210102233130
5314442003343144
613310342020140
71333052250600
oct232444225734
958484482566
1020746152924
118886731832
12402ba17650
131c58156343
14100b435500
15816508419
hex4d4912bdc

20746152924 has 72 divisors (see below), whose sum is σ = 56369392128. Its totient is φ = 5921324640.

The previous prime is 20746152913. The next prime is 20746152979. The reversal of 20746152924 is 42925164702.

It is a happy number.

It is a super-2 number, since 2×207461529242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564907 + ... + 600509.

It is an arithmetic number, because the mean of its divisors is an integer number (782908224).

Almost surely, 220746152924 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 20746152924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28184696064).

20746152924 is an abundant number, since it is smaller than the sum of its proper divisors (35623239204).

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

20746152924 is a wasteful number, since it uses less digits than its factorization.

20746152924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36615 (or 36606 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20746152924 in words is "twenty billion, seven hundred forty-six million, one hundred fifty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 991 1982 2973 3964 5946 6937 11892 13874 20811 27748 35603 41622 48559 71206 83244 97118 106809 142412 145677 194236 213618 249221 291354 427236 498442 582708 747663 996884 1495326 1744547 2990652 3489094 5233641 6978188 10467282 20934564 35282573 70565146 105847719 141130292 211695438 246978011 423390876 493956022 740934033 987912044 1481868066 1728846077 2963736132 3457692154 5186538231 6915384308 10373076462 20746152924