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22137542742 = 23731371932381
BaseRepresentation
bin10100100111100000…
…000001100001010110
32010010210200200122110
4110213200001201112
5330314202331432
614100404211450
71412406002640
oct244740014126
963123620573
1022137542742
11943007a577
124359999b86
13211a4aba23
141100145890
1589874bdcc
hex527801856

22137542742 has 128 divisors (see below), whose sum is σ = 53944639488. Its totient is φ = 5922201600.

The previous prime is 22137542699. The next prime is 22137542759. The reversal of 22137542742 is 24724573122.

It is a self number, because there is not a number n which added to its sum of digits gives 22137542742.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9296392 + ... + 9298772.

It is an arithmetic number, because the mean of its divisors is an integer number (421442496).

Almost surely, 222137542742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22137542742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26972319744).

22137542742 is an abundant number, since it is smaller than the sum of its proper divisors (31807096746).

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

22137542742 is a wasteful number, since it uses less digits than its factorization.

22137542742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654.

The product of its digits is 188160, while the sum is 39.

The spelling of 22137542742 in words is "twenty-two billion, one hundred thirty-seven million, five hundred forty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 193 217 222 259 386 434 518 579 651 777 1147 1158 1302 1351 1554 2294 2381 2702 3441 4053 4762 5983 6882 7141 7143 8029 8106 11966 14282 14286 16058 16667 17949 21423 24087 33334 35898 41881 42846 48174 49987 50001 73811 83762 88097 99974 100002 125643 147622 149961 176194 221371 221433 251286 264291 299922 442742 442866 459533 516677 528582 616679 664113 919066 1033354 1233358 1328226 1378599 1549597 1550031 1850037 2731007 2757198 3099194 3100062 3216731 3700074 4648791 5462014 6433462 8193021 9297582 9650193 14245523 16386042 17002721 19117049 19300386 28491046 34005442 38234098 42736569 51008163 57351147 85473138 99718661 102016326 114702294 119019047 199437322 238038094 299155983 357057141 527084351 598311966 714114282 1054168702 1581253053 3162506106 3689590457 7379180914 11068771371 22137542742