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29893030956 = 223241531312917
BaseRepresentation
bin11011110101110000…
…110111010000101100
32212011022000022102200
4123311300313100230
5442210103442311
621422131221500
72105530366515
oct336560672054
985138008380
1029893030956
111174a922668
125963147890
132a851814c9
141638161a0c
15b9e549556
hex6f5c3742c

29893030956 has 144 divisors (see below), whose sum is σ = 79495704288. Its totient is φ = 9461836800.

The previous prime is 29893030949. The next prime is 29893030987. The reversal of 29893030956 is 65903039892.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10246410 + ... + 10249326.

It is an arithmetic number, because the mean of its divisors is an integer number (552053502).

Almost surely, 229893030956 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 29893030956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39747852144).

29893030956 is an abundant number, since it is smaller than the sum of its proper divisors (49602673332).

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

29893030956 is a wasteful number, since it uses less digits than its factorization.

29893030956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 29893030956 in words is "twenty-nine billion, eight hundred ninety-three million, thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 131 159 164 212 246 262 318 369 393 477 492 524 636 738 786 954 1179 1476 1572 1908 2173 2358 2917 4346 4716 5371 5834 6519 6943 8692 8751 10742 11668 13038 13886 16113 17502 19557 20829 21484 26076 26253 27772 32226 35004 39114 41658 48339 52506 62487 64452 78228 83316 96678 105012 119597 124974 154601 193356 239194 249948 284663 309202 358791 382127 463803 478388 569326 618404 717582 764254 853989 927606 1076373 1138652 1146381 1391409 1435164 1528508 1707978 1855212 2152746 2292762 2561967 2782818 3415956 3439143 4305492 4585524 5123934 5565636 6338641 6878286 10247868 12677282 13756572 15667207 19015923 20252731 25354564 31334414 38031846 40505462 47001621 57047769 60758193 62668828 76063692 81010924 94003242 114095538 121516386 141004863 182274579 188006484 228191076 243032772 282009726 364549158 564019452 729098316 830361971 1660723942 2491085913 3321447884 4982171826 7473257739 9964343652 14946515478 29893030956