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29988117621 = 3371123836053
BaseRepresentation
bin11011111011011011…
…100101110001110101
32212101220221012211000
4123323123211301311
5442403424230441
621435405233513
72111063536230
oct337333456165
985356835730
1029988117621
1111799568690
12598ab62899
132a9ba947c7
141646a34417
15ba7a7d2b6
hex6fb6e5c75

29988117621 has 64 divisors (see below), whose sum is σ = 55421706240. Its totient is φ = 15569133120.

The previous prime is 29988117613. The next prime is 29988117631. The reversal of 29988117621 is 12671188992.

It is a happy number.

29988117621 is a `hidden beast` number, since 2 + 9 + 9 + 8 + 8 + 1 + 1 + 7 + 621 = 666.

It is not a de Polignac number, because 29988117621 - 23 = 29988117613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29988117631) 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 63 ways as a sum of consecutive naturals, for example, 4951231 + ... + 4957283.

It is an arithmetic number, because the mean of its divisors is an integer number (865964160).

Almost surely, 229988117621 is an apocalyptic number.

29988117621 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29988117621 is a deficient number, since it is larger than the sum of its proper divisors (25433588619).

29988117621 is a wasteful number, since it uses less digits than its factorization.

29988117621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8457 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 29988117621 in words is "twenty-nine billion, nine hundred eighty-eight million, one hundred seventeen thousand, six hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 2383 6053 7149 16681 18159 21447 26213 42371 50043 54477 64341 66583 78639 127113 150129 163431 183491 199749 235917 381339 450387 466081 550473 599247 707751 1144017 1398243 1651419 1797741 4194729 4954257 12584187 14424299 43272897 100970093 129818691 158667289 302910279 389456073 476001867 908730837 1110671023 1428005601 2726192511 3332013069 4284016803 9996039207 29988117621