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29007925248 = 212317138863
BaseRepresentation
bin11011000001000000…
…011101000000000000
32202212121112021122210
4123001000131000000
5433402012101443
621154232302120
72044562203431
oct330100350000
982777467583
1029007925248
1111336243645
125756841940
1329739a1313
1415927a1488
15b4b9b0c33
hex6c101d000

29007925248 has 104 divisors (see below), whose sum is σ = 81895321728. Its totient is φ = 9100460032.

The previous prime is 29007925241. The next prime is 29007925249. The reversal of 29007925248 is 84252970092.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 29007925197 and 29007925206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29007925241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139465 + ... + 278327.

Almost surely, 229007925248 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 29007925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947660864).

29007925248 is an abundant number, since it is smaller than the sum of its proper divisors (52887396480).

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

29007925248 is a wasteful number, since it uses less digits than its factorization.

29007925248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138907 (or 138885 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 29007925248 in words is "twenty-nine billion, seven million, nine hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8704 12288 13056 17408 26112 34816 52224 69632 104448 138863 208896 277726 416589 555452 833178 1110904 1666356 2221808 2360671 3332712 4443616 4721342 6665424 7082013 8887232 9442684 13330848 14164026 17774464 18885368 26661696 28328052 35548928 37770736 53323392 56656104 71097856 75541472 106646784 113312208 142195712 151082944 213293568 226624416 284391424 302165888 426587136 453248832 568782848 604331776 853174272 906497664 1208663552 1706348544 1812995328 2417327104 3625990656 4834654208 7251981312 9669308416 14503962624 29007925248