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1096833100804 = 227223923132
BaseRepresentation
bin11111111011000000101…
…10001110110000000100
310212212010011222121201221
433331200112032300010
5120432303233211204
62155513403530124
7142146355346200
oct17754026166004
93785104877657
101096833100804
11393189766831
121586a7229944
137c57a958c1c
143b130a57b00
151d7e7940654
hexff6058ec04

1096833100804 has 81 divisors (see below), whose sum is σ = 2249406854037. Its totient is φ = 466608961728.

The previous prime is 1096833100739. The next prime is 1096833100807. The reversal of 1096833100804 is 4080013386901.

The square root of 1096833100804 is 1047298.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6997322500 + 1089835778304 = 83650^2 + 1043952^2 .

It is not an unprimeable number, because it can be changed into a prime (1096833100807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3504258952 + ... + 3504259264.

Almost surely, 21096833100804 is an apocalyptic number.

1096833100804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1096833100804 is the 1047298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1096833100804

1096833100804 is an abundant number, since it is smaller than the sum of its proper divisors (1152573753233).

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

1096833100804 is an frugal number, since it uses more digits than its factorization.

1096833100804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 1096833100804 in words is "one trillion, ninety-six billion, eight hundred thirty-three million, one hundred thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 239 313 478 626 956 1252 1673 2191 3346 4382 6692 8764 11711 15337 23422 30674 46844 57121 61348 74807 97969 114242 149614 195938 228484 299228 391876 399847 523649 685783 799694 1047298 1371566 1599388 2094596 2743132 2798929 3665543 4800481 5597858 7331086 9600962 11195716 14662172 17878873 19201924 23414591 35757746 46829182 71515492 93658364 125152111 163902137 250304222 327804274 500608444 655608548 876064777 1147314959 1752129554 2294629918 3504259108 4589259836 5596087249 11192174498 22384348996 39172610743 78345221486 156690442972 274208275201 548416550402 1096833100804