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20153325042 = 235192182513
BaseRepresentation
bin10010110001001110…
…110101010111110010
31221000112000222200000
4102301032311113302
5312233222400132
613131443410430
71312263302454
oct226116652762
957015028600
1020153325042
118602032434
123aa5383a16
131b9239c106
14d927d82d4
157ce45587c
hex4b13b55f2

20153325042 has 48 divisors (see below), whose sum is σ = 47666105760. Its totient is φ = 6364204992.

The previous prime is 20153325037. The next prime is 20153325043. The reversal of 20153325042 is 24052335102.

It is a happy number.

20153325042 is a `hidden beast` number, since 2 + 0 + 153 + 3 + 2 + 504 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20153324997 and 20153325015.

It is not an unprimeable number, because it can be changed into a prime (20153325043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1082023 + ... + 1100490.

It is an arithmetic number, because the mean of its divisors is an integer number (993043870).

Almost surely, 220153325042 is an apocalyptic number.

20153325042 is an abundant number, since it is smaller than the sum of its proper divisors (27512780718).

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

20153325042 is a wasteful number, since it uses less digits than its factorization.

20153325042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182549 (or 2182537 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 20153325042 in words is "twenty billion, one hundred fifty-three million, three hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 2182513 4365026 6547539 13095078 19642617 39285234 41467747 58927851 82935494 117855702 124403241 176783553 248806482 353567106 373209723 530350659 746419446 1060701318 1119629169 2239258338 3358887507 6717775014 10076662521 20153325042