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29669010048 = 273329296027
BaseRepresentation
bin11011101000011010…
…010010101010000000
32211120200110212112000
4123220122102222000
5441230231310143
621344005504000
72100140265366
oct335032225200
984520425460
1029669010048
1111645423417
125900112000
132a4a936862
1416164c9636
15b89a47bd3
hex6e8692a80

29669010048 has 128 divisors (see below), whose sum is σ = 90584568000. Its totient is φ = 9548614656.

The previous prime is 29669010037. The next prime is 29669010053. The reversal of 29669010048 is 84001096692.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 29669009985 and 29669010012.

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, 47790 + ... + 248237.

Almost surely, 229669010048 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 29669010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45292284000).

29669010048 is an abundant number, since it is smaller than the sum of its proper divisors (60915557952).

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

29669010048 is a wasteful number, since it uses less digits than its factorization.

29669010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296079 (or 296061 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 29669010048 in words is "twenty-nine billion, six hundred sixty-nine million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12528 16704 25056 33408 50112 100224 296027 592054 888081 1184108 1776162 2368216 2664243 3552324 4736432 5328486 7104648 7992729 8584783 9472864 10656972 14209296 15985458 17169566 18945728 21313944 25754349 28418592 31970916 34339132 37891456 42627888 51508698 56837184 63941832 68678264 77263047 85255776 103017396 113674368 127883664 137356528 154526094 170511552 206034792 231789141 255767328 274713056 309052188 341023104 412069584 463578282 511534656 549426112 618104376 824139168 927156564 1023069312 1098852224 1236208752 1648278336 1854313128 2472417504 3296556672 3708626256 4944835008 7417252512 9889670016 14834505024 29669010048