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29889900976 = 2413238970201
BaseRepresentation
bin11011110101100100…
…111011000110110000
32212011002010021220111
4123311210323012300
5442203303312401
621421540151104
72105461652305
oct336544730660
985132107814
1029889900976
1111749085001
125962098494
132a84626950
1416379890ac
15b9e12be51
hex6f593b1b0

29889900976 has 80 divisors (see below), whose sum is σ = 65810162880. Its totient is φ = 13047091200.

The previous prime is 29889900967. The next prime is 29889900979. The reversal of 29889900976 is 67900998892.

It is not an unprimeable number, because it can be changed into a prime (29889900979) 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 15 ways as a sum of consecutive naturals, for example, 390676 + ... + 460876.

It is an arithmetic number, because the mean of its divisors is an integer number (822627036).

Almost surely, 229889900976 is an apocalyptic number.

29889900976 is a gapful number since it is divisible by the number (26) 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 29889900976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32905081440).

29889900976 is an abundant number, since it is smaller than the sum of its proper divisors (35920261904).

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

29889900976 is a wasteful number, since it uses less digits than its factorization.

29889900976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70334 (or 70328 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 67.

The spelling of 29889900976 in words is "twenty-nine billion, eight hundred eighty-nine million, nine hundred thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 89 92 104 178 184 208 299 356 368 598 712 1157 1196 1424 2047 2314 2392 4094 4628 4784 8188 9256 16376 18512 26611 32752 53222 70201 106444 140402 212888 280804 425776 561608 912613 1123216 1614623 1825226 3229246 3650452 6247889 6458492 7300904 12495778 12916984 14601808 20990099 24991556 25833968 41980198 49983112 81222557 83960396 99966224 143701447 162445114 167920792 287402894 324890228 335841584 574805788 649780456 1149611576 1299560912 1868118811 2299223152 3736237622 7472475244 14944950488 29889900976