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29413212109480 = 2358941946342589
BaseRepresentation
bin1101011000000010011000…
…00011110011101010101000
310212010212122022202101222001
412230001030003303222220
512323401224300000410
6142320124302140344
76124014546536623
oct654011403635250
9125125568671861
1029413212109480
119410089486a01
1233705892816b4
131354866aba804
1473986dac6dba
15360189d0a33a
hex1ac04c0f3aa8

29413212109480 has 128 divisors (see below), whose sum is σ = 67229507520000. Its totient is φ = 11579989284864.

The previous prime is 29413212109469. The next prime is 29413212109483. The reversal of 29413212109480 is 8490121231492.

It is a self number, because there is not a number n which added to its sum of digits gives 29413212109480.

It is not an unprimeable number, because it can be changed into a prime (29413212109483) 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 31 ways as a sum of consecutive naturals, for example, 690608026 + ... + 690650614.

It is an arithmetic number, because the mean of its divisors is an integer number (525230527500).

Almost surely, 229413212109480 is an apocalyptic number.

29413212109480 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 29413212109480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33614753760000).

29413212109480 is an abundant number, since it is smaller than the sum of its proper divisors (37816295410520).

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

29413212109480 is a wasteful number, since it uses less digits than its factorization.

29413212109480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43571 (or 43567 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 29413212109480 in words is "twenty-nine trillion, four hundred thirteen billion, two hundred twelve million, one hundred nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 419 445 463 712 838 890 926 1676 1780 1852 2095 2315 3352 3560 3704 4190 4630 8380 9260 16760 18520 37291 41207 42589 74582 82414 85178 149164 164828 170356 186455 193997 206035 212945 298328 329656 340712 372910 387994 412070 425890 745820 775988 824140 851780 969985 1491640 1551976 1648280 1703560 1939970 3790421 3879940 7580842 7759880 15161684 17265733 17844791 18952105 19718707 30323368 34531466 35689582 37904210 39437414 69062932 71379164 75808420 78874828 86328665 89223955 98593535 138125864 142758328 151616840 157749656 172657330 178447910 197187070 345314660 356895820 394374140 690629320 713791640 788748280 1588186399 1754964923 3176372798 3509929846 6352745596 7019859692 7940931995 8262138233 8774824615 12705491192 14039719384 15881863990 16524276466 17549649230 31763727980 33048552932 35099298460 41310691165 63527455960 66097105864 70198596920 82621382330 165242764660 330485529320 735330302737 1470660605474 2941321210948 3676651513685 5882642421896 7353303027370 14706606054740 29413212109480