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34062383505216 = 2631126163237901
BaseRepresentation
bin1111011111010110001000…
…10001001101111101000000
311110121022222001221212122110
413233223010101031331000
513431034230134131331
6200240013140135320
710113632421423663
oct757530421157500
9143538861855573
1034062383505216
11a942859536500
1239a1627397540
1316010b8726981
1485a8b19476da
153e10928a0946
hex1efac444df40

34062383505216 has 168 divisors, whose sum is σ = 99077736527392. Its totient is φ = 10320216192000.

The previous prime is 34062383505211. The next prime is 34062383505239. The reversal of 34062383505216 is 61250538326043.

It is a super-2 number, since 2×340623835052162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34062383505211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143059866 + ... + 143297766.

Almost surely, 234062383505216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34062383505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49538868263696).

34062383505216 is an abundant number, since it is smaller than the sum of its proper divisors (65015353022176).

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

34062383505216 is a wasteful number, since it uses less digits than its factorization.

34062383505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244101 (or 244080 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 34062383505216 in words is "thirty-four trillion, sixty-two billion, three hundred eighty-three million, five hundred five thousand, two hundred sixteen".