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349422999552 = 2113411533613
BaseRepresentation
bin1010001010110110011…
…10111101100000000000
31020101220220000112120000
411011123032331200000
521211104241441202
6424304523320000
734150012330134
oct5053316754000
91211826015500
10349422999552
1112520a1a0380
1257879080000
1326c48196543
1412caad953c4
15915157a91c
hex515b3bd800

349422999552 has 480 divisors, whose sum is σ = 1160385866640. Its totient is φ = 103859159040.

The previous prime is 349422999551. The next prime is 349422999577. The reversal of 349422999552 is 255999224943.

349422999552 is a `hidden beast` number, since 3 + 494 + 2 + 2 + 9 + 9 + 95 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 349422999552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349422999551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96710898 + ... + 96714510.

Almost surely, 2349422999552 is an apocalyptic number.

349422999552 is a gapful number since it is divisible by the number (32) 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 349422999552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580192933320).

349422999552 is an abundant number, since it is smaller than the sum of its proper divisors (810962867088).

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

349422999552 is a wasteful number, since it uses less digits than its factorization.

349422999552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3682 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 349422999552 in words is "three hundred forty-nine billion, four hundred twenty-two million, nine hundred ninety-nine thousand, five hundred fifty-two".