Search a number
-
+
6015309664 = 257134743951
BaseRepresentation
bin1011001101000101…
…00101011101100000
3120112012212101120211
411212202211131200
544304404402124
62432520543504
7302031200650
oct54642453540
916465771524
106015309664
112607538201
1211ba621b94
1374b2c9340
14410c76360
1525315de94
hex1668a5760

6015309664 has 96 divisors (see below), whose sum is σ = 14886014976. Its totient is φ = 2328998400.

The previous prime is 6015309653. The next prime is 6015309673. The reversal of 6015309664 is 4669035106.

It is a congruent number.

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, 114889 + ... + 158839.

It is an arithmetic number, because the mean of its divisors is an integer number (155062656).

Almost surely, 26015309664 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 6015309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443007488).

6015309664 is an abundant number, since it is smaller than the sum of its proper divisors (8870705312).

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

6015309664 is a wasteful number, since it uses less digits than its factorization.

6015309664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44028 (or 44020 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 6015309664 is about 77558.4274208806. The cubic root of 6015309664 is about 1818.6648082595.

The spelling of 6015309664 in words is "six billion, fifteen million, three hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 91 94 104 112 182 188 208 224 329 364 376 416 611 658 728 752 1222 1316 1456 1504 2444 2632 2912 4277 4888 5264 8554 9776 10528 17108 19552 34216 43951 68432 87902 136864 175804 307657 351608 571363 615314 703216 1142726 1230628 1406432 2065697 2285452 2461256 3999541 4131394 4570904 4922512 7999082 8262788 9141808 9845024 14459879 15998164 16525576 18283616 26854061 28919758 31996328 33051152 53708122 57839516 63992656 66102304 107416244 115679032 127985312 187978427 214832488 231358064 375956854 429664976 462716128 751913708 859329952 1503827416 3007654832 6015309664