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10107067404 = 22371910361483
BaseRepresentation
bin10010110100110110…
…11001110000001100
3222002101020012222210
421122123121300030
5131144402124104
64350525310420
7505314440550
oct113233316014
928071205883
1010107067404
1143171a3375
121b60a05410
13c50c36a75
146bc473860
153e24ab989
hex25a6d9c0c

10107067404 has 96 divisors (see below), whose sum is σ = 28646625280. Its totient is φ = 2709142848.

The previous prime is 10107067379. The next prime is 10107067427. The reversal of 10107067404 is 40476070101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133647 + ... + 195129.

Almost surely, 210107067404 is an apocalyptic number.

10107067404 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 10107067404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14323312640).

10107067404 is an abundant number, since it is smaller than the sum of its proper divisors (18539557876).

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

10107067404 is a wasteful number, since it uses less digits than its factorization.

10107067404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61619 (or 61617 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 10107067404 in words is "ten billion, one hundred seven million, sixty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 103 114 133 206 228 266 309 399 412 532 618 721 798 1236 1442 1596 1957 2163 2884 3914 4326 5871 7828 8652 11742 13699 23484 27398 41097 54796 61483 82194 122966 164388 184449 245932 368898 430381 737796 860762 1168177 1291143 1721524 2336354 2582286 3504531 4672708 5164572 6332749 7009062 8177239 12665498 14018124 16354478 18998247 24531717 25330996 32708956 37996494 44329243 49063434 75992988 88658486 98126868 120322231 132987729 177316972 240644462 265975458 360966693 481288924 531950916 721933386 842255617 1443866772 1684511234 2526766851 3369022468 5053533702 10107067404