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2375950968 = 23362317713
BaseRepresentation
bin1000110110011110…
…0010001001111000
320010120202211000000
42031213202021320
514331220412333
61031432513000
7112610151516
oct21547421170
96116684000
102375950968
11100a187146
1256384b760
132bb318561
1418779d4b6
15dd8c5713
hex8d9e2278

2375950968 has 112 divisors (see below), whose sum is σ = 6970104720. Its totient is φ = 757506816.

The previous prime is 2375950963. The next prime is 2375950999. The reversal of 2375950968 is 8690595732.

2375950968 is a `hidden beast` number, since 2 + 3 + 75 + 9 + 509 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2375950961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125280 + ... + 142992.

Almost surely, 22375950968 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 2375950968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485052360).

2375950968 is an abundant number, since it is smaller than the sum of its proper divisors (4594153752).

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

2375950968 is a wasteful number, since it uses less digits than its factorization.

2375950968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17760 (or 17741 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 2375950968 is about 48743.7274733888. The cubic root of 2375950968 is about 1334.3788753061.

The spelling of 2375950968 in words is "two billion, three hundred seventy-five million, nine hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 729 828 972 1242 1458 1656 1863 1944 2484 2916 3726 4968 5589 5832 7452 11178 14904 16767 17713 22356 33534 35426 44712 53139 67068 70852 106278 134136 141704 159417 212556 318834 407399 425112 478251 637668 814798 956502 1222197 1275336 1434753 1629596 1913004 2444394 2869506 3259192 3666591 3826008 4304259 4888788 5739012 7333182 8608518 9777576 10999773 11478024 12912777 14666364 17217036 21999546 25825554 29332728 32999319 34434072 43999092 51651108 65998638 87998184 98997957 103302216 131997276 197995914 263994552 296993871 395991828 593987742 791983656 1187975484 2375950968