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29410867420 = 2251137431487
BaseRepresentation
bin11011011001000001…
…100011100011011100
32210220200201212101221
4123121001203203130
5440213140224140
621302224543124
72060554151104
oct333101434334
983820655357
1029410867420
1111522739000
125849781aa4
132a09302b3c
1415d00d0204
15b7205614a
hex6d90638dc

29410867420 has 96 divisors (see below), whose sum is σ = 68071643136. Its totient is φ = 10673284160.

The previous prime is 29410867411. The next prime is 29410867463. The reversal of 29410867420 is 2476801492.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 19777917 + ... + 19779403.

It is an arithmetic number, because the mean of its divisors is an integer number (709079616).

Almost surely, 229410867420 is an apocalyptic number.

29410867420 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 29410867420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34035821568).

29410867420 is an abundant number, since it is smaller than the sum of its proper divisors (38660775716).

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

29410867420 is a wasteful number, since it uses less digits than its factorization.

29410867420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 29410867420 in words is "twenty-nine billion, four hundred ten million, eight hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 743 1210 1331 1486 1487 2420 2662 2972 2974 3715 5324 5948 6655 7430 7435 8173 13310 14860 14870 16346 16357 26620 29740 32692 32714 40865 65428 81730 81785 89903 163460 163570 179806 179927 327140 359612 359854 449515 719708 899030 899635 988933 1104841 1798060 1799270 1977866 1979197 2209682 3598540 3955732 3958394 4419364 4944665 5524205 7916788 9889330 9895985 11048410 12153251 19778660 19791970 22096820 24306502 39583940 48613004 60766255 121532510 133685761 243065020 267371522 534743044 668428805 1336857610 1470543371 2673715220 2941086742 5882173484 7352716855 14705433710 29410867420