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147391887312 = 24322933493361
BaseRepresentation
bin1000100101000100111…
…1011011011111010000
3112002102222211122212100
42021101033123133100
54403324310343222
6151413315400400
713435336241115
oct2112117333720
9462388748770
10147391887312
115756597251a
12246952b3100
1310b8c128a07
1471c323a90c
153c79b4a4ac
hex22513db7d0

147391887312 has 60 divisors (see below), whose sum is σ = 413900516484. Its totient is φ = 48962933760.

The previous prime is 147391887311. The next prime is 147391887329. The reversal of 147391887312 is 213788193741.

147391887312 is a `hidden beast` number, since 1 + 473 + 91 + 8 + 8 + 73 + 12 = 666.

147391887312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136054748736 + 11337138576 = 368856^2 + 106476^2 .

It is a super-3 number, since 3×1473918873123 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147391887311) 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 11 ways as a sum of consecutive naturals, for example, 1704489 + ... + 1788872.

Almost surely, 2147391887312 is an apocalyptic number.

147391887312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147391887312 is an abundant number, since it is smaller than the sum of its proper divisors (266508629172).

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

147391887312 is a wasteful number, since it uses less digits than its factorization.

147391887312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493668 (or 3493659 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 147391887312 in words is "one hundred forty-seven billion, three hundred ninety-one million, eight hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 10548 14064 21096 42192 3493361 6986722 10480083 13973444 20960166 27946888 31440249 41920332 55893776 62880498 83840664 125760996 167681328 251521992 503043984 1023554773 2047109546 3070664319 4094219092 6141328638 8188438184 9211992957 12282657276 16376876368 18423985914 24565314552 36847971828 49130629104 73695943656 147391887312