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20261593506 = 2371128944797
BaseRepresentation
bin10010110111101011…
…110110000110100010
31221022001202121002010
4102313223312012202
5312443431443011
613150312133350
71315046463120
oct226753660642
957261677063
1020261593506
118658161100
123b15697256
131bab9492ab
14da2d3c910
157d8be01a6
hex4b7af61a2

20261593506 has 96 divisors (see below), whose sum is σ = 51478277760. Its totient is φ = 5203503360.

The previous prime is 20261593489. The next prime is 20261593529. The reversal of 20261593506 is 60539516202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429900 + ... + 474696.

It is an arithmetic number, because the mean of its divisors is an integer number (536232060).

Almost surely, 220261593506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20261593506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25739138880).

20261593506 is an abundant number, since it is smaller than the sum of its proper divisors (31216684254).

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

20261593506 is a wasteful number, since it uses less digits than its factorization.

20261593506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44920 (or 44909 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 20261593506 in words is "twenty billion, two hundred sixty-one million, five hundred ninety-three thousand, five hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 89 121 154 178 231 242 267 363 462 534 623 726 847 979 1246 1694 1869 1958 2541 2937 3738 5082 5874 6853 10769 13706 20559 21538 32307 41118 44797 64614 75383 89594 134391 150766 226149 268782 313579 452298 492767 627158 940737 985534 1478301 1881474 2956602 3449369 3986933 5420437 6898738 7973866 10348107 10840874 11960799 16261311 20696214 23921598 27908531 32522622 37943059 43856263 55817062 75886118 83725593 87712526 113829177 131568789 167451186 227658354 263137578 306993841 482418893 613987682 920981523 964837786 1447256679 1841963046 2894513358 3376932251 6753864502 10130796753 20261593506