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19700154912 = 253837333373
BaseRepresentation
bin10010010110001110…
…001000001000100000
31212211221022120010010
4102112032020020200
5310321214424122
613014454404520
71265121360654
oct222616101040
955757276103
1019700154912
11839a250a69
123999660740
131b1c5324c9
14d4c552a64
157a478ce0c
hex496388220

19700154912 has 96 divisors (see below), whose sum is σ = 52422890688. Its totient is φ = 6476829696.

The previous prime is 19700154907. The next prime is 19700154913. The reversal of 19700154912 is 21945100791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×197001549122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19700154913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5838858 + ... + 5842230.

It is an arithmetic number, because the mean of its divisors is an integer number (546071778).

Almost surely, 219700154912 is an apocalyptic number.

19700154912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19700154912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211445344).

19700154912 is an abundant number, since it is smaller than the sum of its proper divisors (32722735776).

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

19700154912 is a wasteful number, since it uses less digits than its factorization.

19700154912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 19700154912 in words is "nineteen billion, seven hundred million, one hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 733 996 1328 1466 1992 2199 2656 2932 3373 3984 4398 5864 6746 7968 8796 10119 11728 13492 17592 20238 23456 26984 35184 40476 53968 60839 70368 80952 107936 121678 161904 182517 243356 279959 323808 365034 486712 559918 730068 839877 973424 1119836 1460136 1679754 1946848 2239672 2472409 2920272 3359508 4479344 4944818 5840544 6719016 7417227 8958688 9889636 13438032 14834454 19779272 26876064 29668908 39558544 59337816 79117088 118675632 205209947 237351264 410419894 615629841 820839788 1231259682 1641679576 2462519364 3283359152 4925038728 6566718304 9850077456 19700154912