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29675352200 = 23521329372
BaseRepresentation
bin11011101000110010…
…011111000010001000
32211121010102002022112
4123220302133002020
5441233342232300
621344353441452
72100245221544
oct335062370210
984533362275
1029675352200
1111648a6536a
125902270288
132a4c047500
14161729aa24
15b8a39be35
hex6e8c9f088

29675352200 has 108 divisors (see below), whose sum is σ = 74790591165. Its totient is φ = 10945359360.

The previous prime is 29675352199. The next prime is 29675352221. The reversal of 29675352200 is 225357692.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 23239782916 + 6435569284 = 152446^2 + 80222^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=121810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31670132 + ... + 31671068.

Almost surely, 229675352200 is an apocalyptic number.

29675352200 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 29675352200

29675352200 is an abundant number, since it is smaller than the sum of its proper divisors (45115238965).

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

29675352200 is an equidigital number, since it uses as much as digits as its factorization.

29675352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 29675352200 in words is "twenty-nine billion, six hundred seventy-five million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 937 1300 1352 1690 1874 2600 3380 3748 4225 4685 6760 7496 8450 9370 12181 16900 18740 23425 24362 33800 37480 46850 48724 60905 93700 97448 121810 158353 187400 243620 304525 316706 487240 609050 633412 791765 877969 1218100 1266824 1583530 1755938 2436200 3167060 3511876 3958825 4389845 6334120 7023752 7917650 8779690 11413597 15835300 17559380 21949225 22827194 31670600 35118760 43898450 45654388 57067985 87796900 91308776 114135970 148376761 175593800 228271940 285339925 296753522 456543880 570679850 593507044 741883805 1141359700 1187014088 1483767610 2282719400 2967535220 3709419025 5935070440 7418838050 14837676100 29675352200