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29885158660 = 22571018812399
BaseRepresentation
bin11011110101010010…
…110101010100000100
32212010202012100200011
4123311102311110010
5442201100034120
621421250400004
72105403441310
oct336522652404
985122170604
1029885158660
1111746436035
125960590004
132a83656246
1416370b2b40
15b9d9e1c5a
hex6f54b5504

29885158660 has 96 divisors (see below), whose sum is σ = 72546969600. Its totient is φ = 10129152000.

The previous prime is 29885158657. The next prime is 29885158663. The reversal of 29885158660 is 6685158892.

It is an interprime number because it is at equal distance from previous prime (29885158657) and next prime (29885158663).

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29885158595 and 29885158604.

It is not an unprimeable number, because it can be changed into a prime (29885158663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12456141 + ... + 12458539.

It is an arithmetic number, because the mean of its divisors is an integer number (755697600).

Almost surely, 229885158660 is an apocalyptic number.

29885158660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29885158660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36273484800).

29885158660 is an abundant number, since it is smaller than the sum of its proper divisors (42661810940).

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

29885158660 is a wasteful number, since it uses less digits than its factorization.

29885158660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 58.

The spelling of 29885158660 in words is "twenty-nine billion, eight hundred eighty-five million, one hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 881 1010 1414 1762 2020 2399 2828 3524 3535 4405 4798 6167 7070 8810 9596 11995 12334 14140 16793 17620 23990 24668 30835 33586 47980 61670 67172 83965 88981 123340 167930 177962 242299 335860 355924 444905 484598 622867 889810 969196 1211495 1245734 1696093 1779620 2113519 2422990 2491468 3114335 3392186 4227038 4845980 6228670 6784372 8454076 8480465 10567595 12457340 14794633 16960930 21135190 29589266 33921860 42270380 59178532 73973165 147946330 213465419 295892660 426930838 853861676 1067327095 1494257933 2134654190 2988515866 4269308380 5977031732 7471289665 14942579330 29885158660