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29629987981 = 1123537983337
BaseRepresentation
bin11011100110000101…
…011011110010001101
32211110222001100022021
4123212011123302031
5441140234103411
621340053250141
72066154512416
oct334605336215
984428040267
1029629987981
11116253a0580
1258ab033951
132a42823189
14161124c80d
15b863daa71
hex6e615bc8d

29629987981 has 64 divisors (see below), whose sum is σ = 35324190720. Its totient is φ = 24585200640.

The previous prime is 29629987963. The next prime is 29629987987. The reversal of 29629987981 is 18978992692.

It is a de Polignac number, because none of the positive numbers 2k-29629987981 is a prime.

It is a super-2 number, since 2×296299879812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29629987981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29629987987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87922645 + ... + 87922981.

It is an arithmetic number, because the mean of its divisors is an integer number (551940480).

Almost surely, 229629987981 is an apocalyptic number.

It is an amenable number.

29629987981 is a deficient number, since it is larger than the sum of its proper divisors (5694202739).

29629987981 is a wasteful number, since it uses less digits than its factorization.

29629987981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586.

The product of its digits is 70543872, while the sum is 70.

The spelling of 29629987981 in words is "twenty-nine billion, six hundred twenty-nine million, nine hundred eighty-seven thousand, nine hundred eighty-one".

Divisors: 1 11 23 53 79 83 253 337 583 869 913 1219 1817 1909 3707 4187 4399 6557 7751 13409 17861 19987 20999 26623 27971 46057 48389 72127 85261 96301 101177 150811 196471 292853 307681 347521 410803 612329 643333 1059311 1112947 1411019 1482463 1658921 2209709 3822731 4518833 6735619 7076663 7992983 15521209 16307093 24306799 32453437 34096649 50823307 87922813 117114577 356987807 375063139 559056377 1288260347 2693635271 29629987981