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42118264618496 = 291118114129423
BaseRepresentation
bin10011001001110011011000…
…01100110111111000000000
312112010110121021111221212222
421210321230030313320000
521010031201220242441
6225324510314310212
711604641601160643
oct1144715414677000
9175113537457788
1042118264618496
111246928a3a1190
124882975728368
131a6697362c321
14a5876ba19a5a
154d08d565cd4b
hex264e6c337e00

42118264618496 has 80 divisors (see below), whose sum is σ = 91855369951488. Its totient is φ = 19134089779200.

The previous prime is 42118264618459. The next prime is 42118264618519. The reversal of 42118264618496 is 69481646281124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8134841 + ... + 12264263.

Almost surely, 242118264618496 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 42118264618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45927684975744).

42118264618496 is an abundant number, since it is smaller than the sum of its proper divisors (49737105332992).

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

42118264618496 is a wasteful number, since it uses less digits than its factorization.

42118264618496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131263 (or 4131247 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 62.

The spelling of 42118264618496 in words is "forty-two trillion, one hundred eighteen billion, two hundred sixty-four million, six hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 1811 2816 3622 5632 7244 14488 19921 28976 39842 57952 79684 115904 159368 231808 318736 463616 637472 927232 1274944 2549888 4129423 5099776 8258846 10199552 16517692 33035384 45423653 66070768 90847306 132141536 181694612 264283072 363389224 528566144 726778448 1057132288 1453556896 2114264576 2907113792 5814227584 7478385053 11628455168 14956770106 23256910336 29913540212 59827080424 82262235583 119654160848 164524471166 239308321696 329048942332 478616643392 658097884664 957233286784 1316195769328 1914466573568 2632391538656 3828933147136 5264783077312 10529566154624 21059132309248 42118264618496