Search a number
-
+
2140663391776 = 257131938690417
BaseRepresentation
bin11111001001101001011…
…110110010011000100000
321120122102111211112011001
4133021221132302120200
5240033034312014101
64315223541401344
7310441430415130
oct37115136623040
97518374745131
102140663391776
1175593974aa98
122a6a5ba09254
13126b2c6b8980
1475874246ac0
153aa3c08e901
hex1f2697b2620

2140663391776 has 96 divisors (see below), whose sum is σ = 5459991788160. Its totient is φ = 802284466176.

The previous prime is 2140663391693. The next prime is 2140663391777. The reversal of 2140663391776 is 6771933660412.

It is not an unprimeable number, because it can be changed into a prime (2140663391777) 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, 19289881 + ... + 19400536.

It is an arithmetic number, because the mean of its divisors is an integer number (56874914460).

Almost surely, 22140663391776 is an apocalyptic number.

2140663391776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2140663391776 is an abundant number, since it is smaller than the sum of its proper divisors (3319328396384).

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

2140663391776 is a wasteful number, since it uses less digits than its factorization.

2140663391776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38690466 (or 38690458 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 55.

The spelling of 2140663391776 in words is "two trillion, one hundred forty billion, six hundred sixty-three million, three hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 988 1064 1456 1729 1976 2128 2912 3458 3952 4256 6916 7904 13832 27664 55328 38690417 77380834 154761668 270832919 309523336 502975421 541665838 619046672 735117923 1005950842 1083331676 1238093344 1470235846 2011901684 2166663352 2940471692 3520827947 4023803368 4333326704 5145825461 5880943384 7041655894 8047606736 8666653408 9556532999 10291650922 11761886768 14083311788 16095213472 19113065998 20583301844 23523773536 28166623576 38226131996 41166603688 56333247152 66895730993 76452263992 82333207376 112666494304 133791461986 152904527984 164666414752 267582923972 305809055968 535165847944 1070331695888 2140663391776