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419252453152 = 25132626138377
BaseRepresentation
bin1100001100111010110…
…01001011111100100000
31111002011102110022202021
412012131121023330200
523332112112000102
6520334003031224
742201316024021
oct6063531137440
91432142408667
10419252453152
11151893097405
126930696b514
13306c6199c60
1416413094c48
15ad8bbee137
hex619d64bf20

419252453152 has 48 divisors (see below), whose sum is σ = 888952837752. Its totient is φ = 193488721920.

The previous prime is 419252453141. The next prime is 419252453189. The reversal of 419252453152 is 251354252914.

It can be written as a sum of positive squares in 4 ways, for example, as 26619880336 + 392632572816 = 163156^2 + 626604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 419252453099 and 419252453108.

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 7 ways as a sum of consecutive naturals, for example, 10905388 + ... + 10943764.

Almost surely, 2419252453152 is an apocalyptic number.

It is an amenable number.

419252453152 is an abundant number, since it is smaller than the sum of its proper divisors (469700384600).

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

419252453152 is a wasteful number, since it uses less digits than its factorization.

419252453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64661 (or 64653 counting only the distinct ones).

The product of its digits is 432000, while the sum is 43.

The spelling of 419252453152 in words is "four hundred nineteen billion, two hundred fifty-two million, four hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 26261 38377 52522 76754 105044 153508 210088 307016 341393 420176 498901 614032 682786 840352 997802 1228064 1365572 1995604 2731144 3991208 5462288 7982416 10924576 15964832 1007818397 2015636794 4031273588 8062547176 13101639161 16125094352 26203278322 32250188704 52406556644 104813113288 209626226576 419252453152