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29101482368 = 277172965881
BaseRepresentation
bin11011000110100101…
…010110000110000000
32210010010120110220022
4123012211112012000
5434044434413433
621211413433012
72050106342630
oct330645260600
983103513808
1029101482368
1111384034482
12578203b768
13298a19a36a
1415a0d966c0
15b54ce1698
hex6c6956180

29101482368 has 128 divisors (see below), whose sum is σ = 72575611200. Its totient is φ = 11333468160.

The previous prime is 29101482349. The next prime is 29101482409. The reversal of 29101482368 is 86328410192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408788 + ... + 474668.

Almost surely, 229101482368 is an apocalyptic number.

29101482368 is a gapful number since it is divisible by the number (28) 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 29101482368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36287805600).

29101482368 is an abundant number, since it is smaller than the sum of its proper divisors (43474128832).

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

29101482368 is a wasteful number, since it uses less digits than its factorization.

29101482368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65948 (or 65936 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 29101482368 in words is "twenty-nine billion, one hundred one million, four hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 128 136 203 224 232 238 272 406 448 464 476 493 544 812 896 928 952 986 1088 1624 1856 1904 1972 2176 3248 3451 3712 3808 3944 6496 6902 7616 7888 12992 13804 15232 15776 25984 27608 31552 55216 63104 65881 110432 131762 220864 263524 441728 461167 527048 922334 1054096 1119977 1844668 1910549 2108192 2239954 3689336 3821098 4216384 4479908 7378672 7642196 7839839 8432768 8959816 13373843 14757344 15284392 15679678 17919632 26747686 29514688 30568784 31359356 32479333 35839264 53495372 59029376 61137568 62718712 64958666 71678528 106990744 122275136 125437424 129917332 143357056 213981488 227355331 244550272 250874848 259834664 427962976 454710662 501749696 519669328 855925952 909421324 1003499392 1039338656 1711851904 1818842648 2078677312 3637685296 4157354624 7275370592 14550741184 29101482368