Search a number
-
+
2309711147536 = 2413293061125093
BaseRepresentation
bin100001100111000101100…
…000110011001000010000
322011210202202000021202011
4201213011200303020100
5300320242023210121
64525022221432304
7325604536552042
oct41470540631020
98153682007664
102309711147536
118105a7801a51
1231377970b694
13139a60286610
147db0d643a92
1540132edd7e1
hex219c5833210

2309711147536 has 80 divisors (see below), whose sum is σ = 4987152520560. Its totient is φ = 1028916725760.

The previous prime is 2309711147477. The next prime is 2309711147567. The reversal of 2309711147536 is 6357411179032.

It can be written as a sum of positive squares in 8 ways, for example, as 403809411600 + 1905901735936 = 635460^2 + 1380544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2309711147536.

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, 18401406 + ... + 18526498.

It is an arithmetic number, because the mean of its divisors is an integer number (62339406507).

Almost surely, 22309711147536 is an apocalyptic number.

2309711147536 is a gapful number since it is divisible by the number (26) 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 2309711147536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493576260280).

2309711147536 is an abundant number, since it is smaller than the sum of its proper divisors (2677441373024).

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

2309711147536 is a wasteful number, since it uses less digits than its factorization.

2309711147536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128204 (or 128198 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 2309711147536 in words is "two trillion, three hundred nine billion, seven hundred eleven million, one hundred forty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 3061 6032 6122 12244 24488 39793 48976 79586 88769 125093 159172 177538 250186 318344 355076 500372 636688 710152 1000744 1153997 1420304 1626209 2001488 2307994 3252418 3627697 4615988 6504836 7255394 9231976 13009672 14510788 18463952 26019344 29021576 47160061 58043152 94320122 188640244 377280488 382909673 754560976 765819346 1531638692 3063277384 4977825749 6126554768 9955651498 11104380517 19911302996 22208761034 39822605992 44417522068 79645211984 88835044136 144356946721 177670088272 288713893442 577427786884 1154855573768 2309711147536