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1104110115664 = 243197121318919
BaseRepresentation
bin10000000100010010000…
…101110101101101010000
310220112220022222021110211
4100010102011311231100
5121042204142200124
62203115435333504
7142524610064023
oct20042205655520
93815808867424
101104110115664
113962834157a6
12159b982b1294
138016a47288a
143b6212c31ba
151dac1727e94
hex10112175b50

1104110115664 has 80 divisors (see below), whose sum is σ = 2232942638080. Its totient is φ = 528275312640.

The previous prime is 1104110115659. The next prime is 1104110115709. The reversal of 1104110115664 is 4665110114011.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 58350397 + ... + 58369315.

It is an arithmetic number, because the mean of its divisors is an integer number (27911782976).

Almost surely, 21104110115664 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 1104110115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116471319040).

1104110115664 is an abundant number, since it is smaller than the sum of its proper divisors (1128832522416).

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

1104110115664 is a wasteful number, since it uses less digits than its factorization.

1104110115664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 1104110115664 its reverse (4665110114011), we get a palindrome (5769220229675).

The spelling of 1104110115664 in words is "one trillion, one hundred four billion, one hundred ten million, one hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1213 1552 2426 3007 4852 6014 9704 12028 18919 19408 24056 37603 37838 48112 75206 75676 117661 150412 151352 235322 300824 302704 470644 586489 601648 941288 1172978 1835143 1882576 2345956 3647491 3670286 4691912 7294982 7340572 9383824 14589964 14681144 22948747 29179928 29362288 45897494 56889433 58359856 91794988 113778866 183589976 227557732 367179952 455115464 711411157 910230928 1422822314 2226028459 2845644628 4452056918 5691289256 8904113836 11382578512 17808227672 35616455344 69006882229 138013764458 276027528916 552055057832 1104110115664