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1020104499904 = 26731316934297
BaseRepresentation
bin11101101100000101111…
…01110110001011000000
310121112001211120211122121
432312002331312023000
5113203133222444104
62100343551414024
7133462066116250
oct16660275661300
93545054524577
101020104499904
1136369543a276
12145852b24314
1375270501229
1437532571960
151b806775254
hexed82f762c0

1020104499904 has 112 divisors (see below), whose sum is σ = 2322753767488. Its totient is φ = 435432112128.

The previous prime is 1020104499889. The next prime is 1020104499991. The reversal of 1020104499904 is 4099944010201.

1020104499904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10201044999042 (a number of 25 digits) contains 22 as substring.

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, 237397084 + ... + 237401380.

It is an arithmetic number, because the mean of its divisors is an integer number (20738872924).

Almost surely, 21020104499904 is an apocalyptic number.

1020104499904 is a gapful number since it is divisible by the number (14) 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 1020104499904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161376883744).

1020104499904 is an abundant number, since it is smaller than the sum of its proper divisors (1302649267584).

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

1020104499904 is a wasteful number, since it uses less digits than its factorization.

1020104499904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 1020104499904 in words is "one trillion, twenty billion, one hundred four million, four hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 313 448 626 1252 1693 2191 2504 3386 4297 4382 5008 6772 8594 8764 10016 11851 13544 17188 17528 20032 23702 27088 30079 34376 35056 47404 54176 60158 68752 70112 94808 108352 120316 137504 140224 189616 240632 275008 379232 481264 529909 758464 962528 1059818 1344961 1925056 2119636 2689922 3709363 4239272 5379844 7274821 7418726 8478544 9414727 10759688 14549642 14837452 16957088 18829454 21519376 29099284 29674904 33914176 37658908 43038752 50923747 58198568 59349808 75317816 86077504 101847494 116397136 118699616 150635632 203694988 232794272 237399232 301271264 407389976 465588544 602542528 814779952 1629559904 2277018973 3259119808 4554037946 9108075892 15939132811 18216151784 31878265622 36432303568 63756531244 72864607136 127513062488 145729214272 255026124976 510052249952 1020104499904