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6113365248 = 28397137599
BaseRepresentation
bin1011011000110001…
…01000110100000000
3120210001101010120010
411230120220310000
5100010010141443
62450342344520
7304331514204
oct55430506400
916701333503
106113365248
112657920881
12122742b140
1376570bab3
1441dcbcb04
1525ba7c733
hex16c628d00

6113365248 has 144 divisors (see below), whose sum is σ = 16585833600. Its totient is φ = 1998716928.

The previous prime is 6113365243. The next prime is 6113365259. The reversal of 6113365248 is 8425633116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113365241) 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, 10205653 + ... + 10206251.

It is an arithmetic number, because the mean of its divisors is an integer number (115179400).

Almost surely, 26113365248 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 6113365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292916800).

6113365248 is an abundant number, since it is smaller than the sum of its proper divisors (10472468352).

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

6113365248 is a wasteful number, since it uses less digits than its factorization.

6113365248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 6113365248 is about 78188.0121757805. The cubic root of 6113365248 is about 1828.4936141738.

The spelling of 6113365248 in words is "six billion, one hundred thirteen million, three hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 137 192 194 256 274 291 384 388 411 548 582 599 768 776 822 1096 1164 1198 1552 1644 1797 2192 2328 2396 3104 3288 3594 4384 4656 4792 6208 6576 7188 8768 9312 9584 12416 13152 13289 14376 17536 18624 19168 24832 26304 26578 28752 35072 37248 38336 39867 52608 53156 57504 58103 74496 76672 79734 82063 105216 106312 115008 116206 153344 159468 164126 174309 212624 230016 232412 246189 318936 328252 348618 425248 460032 464824 492378 637872 656504 697236 850496 929648 984756 1275744 1313008 1394472 1700992 1859296 1969512 2551488 2626016 2788944 3401984 3718592 3939024 5102976 5252032 5577888 7437184 7878048 7960111 10205952 10504064 11155776 14874368 15756096 15920222 21008128 22311552 23880333 31512192 31840444 44623104 47760666 63024384 63680888 95521332 127361776 191042664 254723552 382085328 509447104 764170656 1018894208 1528341312 2037788416 3056682624 6113365248