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19720056474 = 23317316011153
BaseRepresentation
bin10010010111011010…
…000010111010011010
31212220022202122221000
4102113122002322122
5310341313301344
613020445125430
71265452500006
oct222732027232
955808678830
1019720056474
1183aa504338
1239a4259876
131b236acb91
14d51053706
157a63bea69
hex497682e9a

19720056474 has 128 divisors (see below), whose sum is σ = 48018216960. Its totient is φ = 5971968000.

The previous prime is 19720056469. The next prime is 19720056487. The reversal of 19720056474 is 47465002791.

19720056474 is a `hidden beast` number, since 19 + 7 + 2 + 0 + 0 + 564 + 74 = 666.

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 63 ways as a sum of consecutive naturals, for example, 17102682 + ... + 17103834.

It is an arithmetic number, because the mean of its divisors is an integer number (375142320).

Almost surely, 219720056474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19720056474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24009108480).

19720056474 is an abundant number, since it is smaller than the sum of its proper divisors (28298160486).

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

19720056474 is a wasteful number, since it uses less digits than its factorization.

19720056474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 19720056474 in words is "nineteen billion, seven hundred twenty million, fifty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 601 837 918 1054 1153 1202 1581 1674 1803 2306 3162 3459 3606 4743 5409 6918 9486 10217 10377 10818 14229 16227 18631 19601 20434 20754 28458 30651 31131 32454 35743 37262 39202 55893 58803 61302 62262 71486 91953 107229 111786 117606 167679 176409 183906 214458 275859 316727 321687 335358 352818 503037 529227 551718 607631 633454 643374 692953 950181 965061 1006074 1058454 1215262 1385906 1822893 1900362 1930122 2078859 2850543 3645786 4157718 5468679 5701086 6236577 8551629 10937358 11780201 12473154 16406037 17103258 18709731 21481543 23560402 32812074 35340603 37419462 42963086 64444629 70681206 106021809 128889258 193333887 212043618 318065427 365186231 386667774 580001661 636130854 730372462 1095558693 1160003322 2191117386 3286676079 6573352158 9860028237 19720056474