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29234949960 = 2335417697727
BaseRepresentation
bin11011001110100010…
…011110111101001000
32210110102201100000110
4123032202132331020
5434333121344320
621232542234320
72053316655156
oct331642367510
983412640013
1029234949960
1111442404677
1257ba8859a0
1329aba2b278
1415b49ba3d6
15b618a75e0
hex6ce89ef48

29234949960 has 128 divisors (see below), whose sum is σ = 89972467200. Its totient is φ = 7594967040.

The previous prime is 29234949949. The next prime is 29234949977. The reversal of 29234949960 is 6994943292.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29234949960.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3779617 + ... + 3787343.

It is an arithmetic number, because the mean of its divisors is an integer number (702909900).

Almost surely, 229234949960 is an apocalyptic number.

29234949960 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 29234949960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44986233600).

29234949960 is an abundant number, since it is smaller than the sum of its proper divisors (60737517240).

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

29234949960 is a wasteful number, since it uses less digits than its factorization.

29234949960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 57.

The spelling of 29234949960 in words is "twenty-nine billion, two hundred thirty-four million, nine hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 769 820 984 1230 1538 1640 2307 2460 3076 3845 4614 4920 6152 7690 7727 9228 11535 15380 15454 18456 23070 23181 30760 30908 31529 38635 46140 46362 61816 63058 77270 92280 92724 94587 115905 126116 154540 157645 185448 189174 231810 252232 309080 315290 316807 378348 463620 472935 630580 633614 756696 927240 945870 950421 1261160 1267228 1584035 1891740 1900842 2534456 3168070 3783480 3801684 4752105 5942063 6336140 7603368 9504210 11884126 12672280 17826189 19008420 23768252 29710315 35652378 38016840 47536504 59420630 71304756 89130945 118841260 142609512 178261890 237682520 243624583 356523780 487249166 713047560 730873749 974498332 1218122915 1461747498 1948996664 2436245830 2923494996 3654368745 4872491660 5846989992 7308737490 9744983320 14617474980 29234949960