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29630032068 = 223721319204013
BaseRepresentation
bin11011100110000101…
…100110100011000100
32211110222010120210010
4123212011212203010
5441140242011233
621340054230220
72066155055100
oct334605464304
984428116703
1029630032068
111162542070a
1258ab055370
132a4283a270
141611260900
15b863e8b63
hex6e61668c4

29630032068 has 144 divisors (see below), whose sum is σ = 91169776320. Its totient is φ = 7403187456.

The previous prime is 29630032067. The next prime is 29630032079. The reversal of 29630032068 is 86023003692.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (29630032067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43230 + ... + 247242.

Almost surely, 229630032068 is an apocalyptic number.

29630032068 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 29630032068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45584888160).

29630032068 is an abundant number, since it is smaller than the sum of its proper divisors (61539744252).

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

29630032068 is a wasteful number, since it uses less digits than its factorization.

29630032068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204066 (or 204057 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 29630032068 in words is "twenty-nine billion, six hundred thirty million, thirty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2548 2793 2964 3458 3724 3822 5187 5586 6916 7644 10374 11172 12103 20748 24206 36309 48412 72618 145236 204013 408026 612039 816052 1224078 1428091 2448156 2652169 2856182 3876247 4284273 5304338 5712364 7752494 7956507 8568546 9996637 10608676 11628741 15504988 15913014 17137092 18565183 19993274 23257482 27133729 29989911 31826028 37130366 39986548 46514964 50391211 54267458 55695549 59979822 74260732 81401187 100782422 108534916 111391098 119959644 129956281 151173633 162802374 189936103 201564844 222782196 259912562 302347266 325604748 352738477 379872206 389868843 519825124 569808309 604694532 705476954 759744412 779737686 1058215431 1139616618 1410953908 1559475372 2116430862 2279233236 2469169339 4232861724 4938338678 7407508017 9876677356 14815016034 29630032068