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29027350272 = 283179211151
BaseRepresentation
bin11011000010001010…
…100011011100000000
32202220222002011210010
4123002022203130000
5433422000202042
621200204504520
72045216256234
oct330212433400
982828064703
1029027350272
1111346200988
12576124b140
132977a12b0b
1415951ba5c4
15b4d54b59c
hex6c22a3700

29027350272 has 72 divisors (see below), whose sum is σ = 77687043840. Its totient is φ = 9621683200.

The previous prime is 29027350271. The next prime is 29027350283. The reversal of 29027350272 is 27205372092.

It is a self number, because there is not a number n which added to its sum of digits gives 29027350272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29027350271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31897 + ... + 243047.

It is an arithmetic number, because the mean of its divisors is an integer number (1078986720).

Almost surely, 229027350272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29027350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38843521920).

29027350272 is an abundant number, since it is smaller than the sum of its proper divisors (48659693568).

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

29027350272 is a wasteful number, since it uses less digits than its factorization.

29027350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211349 (or 211335 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 29027350272 in words is "twenty-nine billion, twenty-seven million, three hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 537 716 768 1074 1432 2148 2864 4296 5728 8592 11456 17184 22912 34368 45824 68736 137472 211151 422302 633453 844604 1266906 1689208 2533812 3378416 5067624 6756832 10135248 13513664 20270496 27027328 37796029 40540992 54054656 75592058 81081984 113388087 151184116 162163968 226776174 302368232 453552348 604736464 907104696 1209472928 1814209392 2418945856 3628418784 4837891712 7256837568 9675783424 14513675136 29027350272