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450186378972 = 223116615159611
BaseRepresentation
bin1101000110100010011…
…00101111111011011100
31121001000021002120111120
412203101030233323130
524333440203111342
6542451320250540
744345016040461
oct6432114577334
91531007076446
10450186378972
11163a17524760
12732ba610a50
13335b5ba6585
1417b0956b668
15ba9c806aec
hex68d132fedc

450186378972 has 48 divisors (see below), whose sum is σ = 1147662816384. Its totient is φ = 136213704000.

The previous prime is 450186378911. The next prime is 450186378973. The reversal of 450186378972 is 279873681054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450186378973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492554 + ... + 2667057.

It is an arithmetic number, because the mean of its divisors is an integer number (23909642008).

It is a 1-persistent number, because it is pandigital, but 2⋅450186378972 = 900372757944 is not.

Almost surely, 2450186378972 is an apocalyptic number.

It is an amenable number.

450186378972 is an abundant number, since it is smaller than the sum of its proper divisors (697476437412).

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

450186378972 is a wasteful number, since it uses less digits than its factorization.

450186378972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160290 (or 5160288 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 450186378972 in words is "four hundred fifty billion, one hundred eighty-six million, three hundred seventy-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 661 1322 1983 2644 3966 7271 7932 14542 21813 29084 43626 87252 5159611 10319222 15478833 20638444 30957666 56755721 61915332 113511442 170267163 227022884 340534326 681068652 3410502871 6821005742 10231508613 13642011484 20463017226 37515531581 40926034452 75031063162 112546594743 150062126324 225093189486 450186378972