Search a number
-
+
1076374202656 = 251719883117937
BaseRepresentation
bin11111010100111001110…
…01101110100100100000
310210220022100221220120111
433222130321232210200
5120113403243441111
62142251322421104
7140523361522624
oct17523471564440
93726270856514
101076374202656
113855401a3845
12154737661794
137a66a18a42c
143a14d839184
151ceeb779a21
hexfa9ce6e920

1076374202656 has 96 divisors (see below), whose sum is σ = 2364553114560. Its totient is φ = 479322095616.

The previous prime is 1076374202633. The next prime is 1076374202699. The reversal of 1076374202656 is 6562024736701.

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, 9067720 + ... + 9185656.

It is an arithmetic number, because the mean of its divisors is an integer number (24630761610).

Almost surely, 21076374202656 is an apocalyptic number.

1076374202656 is a gapful number since it is divisible by the number (16) 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 1076374202656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182276557280).

1076374202656 is an abundant number, since it is smaller than the sum of its proper divisors (1288178911904).

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

1076374202656 is a wasteful number, since it uses less digits than its factorization.

1076374202656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118866 (or 118858 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 1076374202656 in words is "one trillion, seventy-six billion, three hundred seventy-four million, two hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 883 1292 1766 2584 3532 5168 7064 10336 14128 15011 16777 28256 30022 33554 60044 67108 117937 120088 134216 235874 240176 268432 285209 471748 480352 536864 570418 943496 1140836 1886992 2004929 2240803 2281672 3773984 4009858 4481606 4563344 8019716 8963212 9126688 16039432 17926424 32078864 35852848 38093651 64157728 71705696 76187302 104138371 152374604 208276742 304749208 416553484 609498416 833106968 1218996832 1666213936 1770352307 1978629049 3332427872 3540704614 3957258098 7081409228 7914516196 14162818456 15829032392 28325636912 31658064784 33636693833 56651273824 63316129568 67273387666 134546775332 269093550664 538187101328 1076374202656