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29849914836952 = 23723311273918059
BaseRepresentation
bin1101100100101111110011…
…00100100000011111011000
310220200121211212222111212121
412302113321210200133120
512403030111144240302
6143252510033151024
76200404500506200
oct662277144403730
9126617755874777
1029849914836952
119569306815721
1234211440bb474
131386ab1342672
14752a5a58b400
1536b6e89c5e37
hex1b25f99207d8

29849914836952 has 96 divisors (see below), whose sum is σ = 65311757784000. Its totient is φ = 12752464253760.

The previous prime is 29849914836949. The next prime is 29849914836977. The reversal of 29849914836952 is 25963841994892.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652901699 + ... + 1652919757.

It is an arithmetic number, because the mean of its divisors is an integer number (680330810250).

Almost surely, 229849914836952 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 29849914836952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32655878892000).

29849914836952 is an abundant number, since it is smaller than the sum of its proper divisors (35461842947048).

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

29849914836952 is a wasteful number, since it uses less digits than its factorization.

29849914836952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31149 (or 31138 counting only the distinct ones).

The product of its digits is 2418647040, while the sum is 79.

The spelling of 29849914836952 in words is "twenty-nine trillion, eight hundred forty-nine billion, nine hundred fourteen million, eight hundred thirty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 331 392 662 1324 2317 2648 4634 9268 12739 16219 18059 18536 25478 32438 36118 50956 64876 72236 89173 101912 126413 129752 144472 178346 252826 356692 505652 624211 713384 884891 1011304 1248422 1769782 2496844 3539564 4216609 4993688 5977529 7079128 8433218 11955058 16866436 23910116 29516263 33732872 41842703 47820232 59032526 83685406 118065052 167370812 206613841 230053601 236130104 292898921 334741624 413227682 460107202 585797842 826455364 920214404 1171595684 1610375207 1652910728 1840428808 2343191368 3220750414 6441500828 11272626449 12883001656 22545252898 45090505796 76147741931 90181011592 152295483862 304590967724 533034193517 609181935448 1066068387034 2132136774068 3731239354619 4264273548136 7462478709238 14924957418476 29849914836952