Search a number
-
+
20733851964 = 223737170949
BaseRepresentation
bin10011010011110101…
…010111100100111100
31222111222101210220010
4103103311113210330
5314430331230324
613305222223220
71332542556000
oct232365274474
958458353803
1020733851964
11887a79a951
124027884b10
131c5573a377
141009952700
158153c8829
hex4d3d5793c

20733851964 has 96 divisors (see below), whose sum is σ = 57214080000. Its totient is φ = 5840439360.

The previous prime is 20733851953. The next prime is 20733851969. The reversal of 20733851964 is 46915833702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20733851969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256762 + ... + 327710.

It is an arithmetic number, because the mean of its divisors is an integer number (595980000).

It is a 1-persistent number, because it is pandigital, but 2⋅20733851964 = 41467703928 is not.

Almost surely, 220733851964 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 20733851964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28607040000).

20733851964 is an abundant number, since it is smaller than the sum of its proper divisors (36480228036).

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

20733851964 is a wasteful number, since it uses less digits than its factorization.

20733851964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71048 (or 71032 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 20733851964 in words is "twenty billion, seven hundred thirty-three million, eight hundred fifty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 343 426 497 588 686 852 994 1029 1372 1491 1988 2058 2982 3479 4116 5964 6958 10437 13916 20874 24353 41748 48706 70949 73059 97412 141898 146118 212847 283796 292236 425694 496643 851388 993286 1489929 1986572 2979858 3476501 5037379 5959716 6953002 10074758 10429503 13906004 15112137 20149516 20859006 24335507 30224274 35261653 41718012 48671014 60448548 70523306 73006521 97342028 105784959 141046612 146013042 211569918 246831571 292026084 423139836 493663142 740494713 987326284 1480989426 1727820997 2961978852 3455641994 5183462991 6911283988 10366925982 20733851964