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29410472952 = 2333753367007
BaseRepresentation
bin11011011001000000…
…000011001111111000
32210220122222211022000
4123121000003033320
5440213040113302
621302212301000
72060550616050
oct333100031770
983818884260
1029410472952
11115224996a3
125849611760
132a091c5423
1415d002a560
15b71ec931c
hex6d90033f8

29410472952 has 128 divisors (see below), whose sum is σ = 95128473600. Its totient is φ = 8244422784.

The previous prime is 29410472947. The next prime is 29410472953. The reversal of 29410472952 is 25927401492.

29410472952 is a `hidden beast` number, since 2 + 94 + 1 + 0 + 472 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29410472898 and 29410472907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29410472953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103368 + ... + 263639.

It is an arithmetic number, because the mean of its divisors is an integer number (743191200).

Almost surely, 229410472952 is an apocalyptic number.

It is an amenable number.

29410472952 is an abundant number, since it is smaller than the sum of its proper divisors (65718000648).

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

29410472952 is a wasteful number, since it uses less digits than its factorization.

29410472952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367082 (or 367072 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 29410472952 in words is "twenty-nine billion, four hundred ten million, four hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8904 10017 11448 13356 20034 26712 40068 80136 367007 734014 1101021 1468028 2202042 2569049 2936056 3303063 4404084 5138098 6606126 7707147 8808168 9909189 10276196 13212252 15414294 19451371 19818378 20552392 23121441 26424504 30828588 38902742 39636756 46242882 58354113 61657176 69364323 77805484 79273512 92485764 116708226 136159597 138728646 155610968 175062339 184971528 233416452 272319194 277457292 350124678 408478791 466832904 525187017 544638388 554914584 700249356 816957582 1050374034 1089276776 1225436373 1400498712 1633915164 2100748068 2450872746 3267830328 3676309119 4201496136 4901745492 7352618238 9803490984 14705236476 29410472952