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6156056016 = 243211332119
BaseRepresentation
bin1011011101110110…
…11111010111010000
3120220000201001021200
411232323133113100
5100101422243031
62454505351200
7305360420115
oct55673372720
916800631250
106156056016
112679a2a000
121239798500
137715082c6
1442583290c
152606b18e6
hex16eedf5d0

6156056016 has 120 divisors (see below), whose sum is σ = 18950543040. Its totient is φ = 1865413440.

The previous prime is 6156055973. The next prime is 6156056017. The reversal of 6156056016 is 6106506516.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6156056017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175605 + ... + 207723.

It is an arithmetic number, because the mean of its divisors is an integer number (157921192).

Almost surely, 26156056016 is an apocalyptic number.

6156056016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6156056016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475271520).

6156056016 is an abundant number, since it is smaller than the sum of its proper divisors (12794487024).

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

6156056016 is a wasteful number, since it uses less digits than its factorization.

6156056016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32166 (or 32135 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6156056016 is about 78460.5379538020. The cubic root of 6156056016 is about 1832.7399822072.

The spelling of 6156056016 in words is "six billion, one hundred fifty-six million, fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1331 1452 1584 1936 2178 2662 2904 3993 4356 5324 5808 7986 8712 10648 11979 15972 17424 21296 23958 31944 32119 47916 63888 64238 95832 96357 128476 191664 192714 256952 289071 353309 385428 513904 578142 706618 770856 1059927 1156284 1413236 1541712 2119854 2312568 2826472 3179781 3886399 4239708 4625136 5652944 6359562 7772798 8479416 11659197 12719124 15545596 16958832 23318394 25438248 31091192 34977591 42750389 46636788 50876496 62182384 69955182 85500778 93273576 128251167 139910364 171001556 186547152 256502334 279820728 342003112 384753501 513004668 559641456 684006224 769507002 1026009336 1539014004 2052018672 3078028008 6156056016