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2095699968 = 21132671697
BaseRepresentation
bin111110011101001…
…1101100000000000
312102001102120220100
41330322131200000
513242444344333
6543542042400
7102635104305
oct17472354000
95361376810
102095699968
11985a7144a
124a5a19400
1327524386b
1415c48b0ac
15c3eb8213
hex7ce9d800

2095699968 has 144 divisors (see below), whose sum is σ = 6146726040. Its totient is φ = 687734784.

The previous prime is 2095699933. The next prime is 2095700011. The reversal of 2095699968 is 8699965902.

2095699968 is a `hidden beast` number, since 2 + 0 + 9 + 569 + 9 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234096 + ... + 1235792.

Almost surely, 22095699968 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 2095699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073363020).

2095699968 is an abundant number, since it is smaller than the sum of its proper divisors (4051026072).

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

2095699968 is a wasteful number, since it uses less digits than its factorization.

2095699968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The square root of 2095699968 is about 45778.8157120736. The cubic root of 2095699968 is about 1279.7045151266.

The spelling of 2095699968 in words is "two billion, ninety-five million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1152 1206 1536 1608 1697 2048 2144 2304 2412 3072 3216 3394 4288 4608 4824 5091 6144 6432 6788 8576 9216 9648 10182 12864 13576 15273 17152 18432 19296 20364 25728 27152 30546 34304 38592 40728 51456 54304 61092 68608 77184 81456 102912 108608 113699 122184 137216 154368 162912 205824 217216 227398 244368 308736 325824 341097 411648 434432 454796 488736 617472 651648 682194 868864 909592 977472 1023291 1234944 1303296 1364388 1737728 1819184 1954944 2046582 2606592 2728776 3475456 3638368 3909888 4093164 5213184 5457552 7276736 7819776 8186328 10426368 10915104 14553472 15639552 16372656 21830208 29106944 31279104 32745312 43660416 58213888 65490624 87320832 116427776 130981248 174641664 232855552 261962496 349283328 523924992 698566656 1047849984 2095699968