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1058638506642 = 232677112363517
BaseRepresentation
bin11110110011110111100…
…01011010101010010010
310202012112100010012110100
433121323301122222102
5114321042424203032
62130155401113230
7136325022556233
oct17317361325222
93665470105410
101058638506642
11378a69924932
12151207a88816
1378aa193a152
143934a16d08a
151c80e6cd97c
hexf67bc5aa92

1058638506642 has 48 divisors (see below), whose sum is σ = 2360739580992. Its totient is φ = 342716663520.

The previous prime is 1058638506613. The next prime is 1058638506643. The reversal of 1058638506642 is 2466058368501.

1058638506642 is a `hidden beast` number, since 1 + 0 + 586 + 3 + 8 + 50 + 6 + 6 + 4 + 2 = 666.

It is a super-2 number, since 2×10586385066422 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1058638506643) 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, 6096133 + ... + 6267384.

It is an arithmetic number, because the mean of its divisors is an integer number (49182074604).

Almost surely, 21058638506642 is an apocalyptic number.

1058638506642 is an abundant number, since it is smaller than the sum of its proper divisors (1302101074350).

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

1058638506642 is a wasteful number, since it uses less digits than its factorization.

1058638506642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12363663 (or 12363660 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 1058638506642 in words is "one trillion, fifty-eight billion, six hundred thirty-eight million, five hundred six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 67 71 134 142 201 213 402 426 603 639 1206 1278 4757 9514 14271 28542 42813 85626 12363517 24727034 37090551 74181102 111271653 222543306 828355639 877809707 1656711278 1755619414 2485066917 2633429121 4970133834 5266858242 7455200751 7900287363 14910401502 15800574726 58813250369 117626500738 176439751107 352879502214 529319253321 1058638506642