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29675131392 = 29323887947
BaseRepresentation
bin11011101000110001…
…101001001000000000
32211121002222212102110
4123220301221020000
5441233313201032
621344345015320
72100243312024
oct335061511000
984532885373
1029675131392
1111648924485
125902184540
132a4bc9ab5a
141617240384
15b8a3567cc
hex6e8c69200

29675131392 has 160 divisors (see below), whose sum is σ = 82673851392. Its totient is φ = 9440989184.

The previous prime is 29675131391. The next prime is 29675131433. The reversal of 29675131392 is 29313157692.

It is a super-2 number, since 2×296751313922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (29675131391) 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 15 ways as a sum of consecutive naturals, for example, 31335463 + ... + 31336409.

Almost surely, 229675131392 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 29675131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41336925696).

29675131392 is an abundant number, since it is smaller than the sum of its proper divisors (52998720000).

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

29675131392 is an equidigital number, since it uses as much as digits as its factorization.

29675131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1862 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The spelling of 29675131392 in words is "twenty-nine billion, six hundred seventy-five million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 887 947 1104 1472 1536 1774 1894 2208 2661 2841 2944 3548 3788 4416 5322 5682 5888 7096 7576 8832 10644 11364 11776 14192 15152 17664 20401 21288 21781 22728 28384 30304 35328 40802 42576 43562 45456 56768 60608 61203 65343 81604 85152 87124 90912 113536 121216 122406 130686 163208 170304 174248 181824 227072 242432 244812 261372 326416 340608 348496 363648 454144 484864 489624 522744 652832 681216 696992 727296 839989 979248 1045488 1305664 1362432 1393984 1454592 1679978 1958496 2090976 2519967 2611328 2787968 3359956 3916992 4181952 5039934 5222656 5575936 6719912 7833984 8363904 10079868 10445312 11151872 13439824 15667968 16727808 19319747 20159736 26879648 31335936 33455616 38639494 40319472 53759296 57959241 77278988 80638944 107518592 115918482 154557976 161277888 215037184 231836964 309115952 322555776 430074368 463673928 618231904 645111552 927347856 1236463808 1290223104 1854695712 2472927616 3709391424 4945855232 7418782848 9891710464 14837565696 29675131392