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6309129920 = 26531647983
BaseRepresentation
bin1011110000000110…
…11010111011000000
3121021200202000012112
411320003122323000
5100410114124140
62522014314452
7312226501532
oct57003327300
917250660175
106309129920
112748380765
121280ab8a28
13797142392
1443bcbb852
1526dd4bc65
hex1780daec0

6309129920 has 112 divisors (see below), whose sum is σ = 15548018688. Its totient is φ = 2435988480.

The previous prime is 6309129859. The next prime is 6309129923. The reversal of 6309129920 is 299219036.

It is not an unprimeable number, because it can be changed into a prime (6309129923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6417749 + ... + 6418731.

Almost surely, 26309129920 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 6309129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774009344).

6309129920 is an abundant number, since it is smaller than the sum of its proper divisors (9238888768).

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

6309129920 is a wasteful number, since it uses less digits than its factorization.

6309129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 6309129920 is about 79430.0316001448. The cubic root of 6309129920 is about 1847.8064988577.

The spelling of 6309129920 in words is "six billion, three hundred nine million, one hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 647 983 992 1240 1294 1966 1984 2480 2588 3235 3932 4915 4960 5176 6470 7864 9830 9920 10352 12940 15728 19660 20057 20704 25880 30473 31456 39320 40114 41408 51760 60946 62912 78640 80228 100285 103520 121892 152365 157280 160456 200570 207040 243784 304730 314560 320912 401140 487568 609460 636001 641824 802280 975136 1218920 1272002 1283648 1604560 1950272 2437840 2544004 3180005 3209120 4875680 5088008 6360010 6418240 9751360 10176016 12720020 19716031 20352032 25440040 39432062 40704064 50880080 78864124 98580155 101760160 157728248 197160310 203520320 315456496 394320620 630912992 788641240 1261825984 1577282480 3154564960 6309129920