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10104470480 = 2451377312569
BaseRepresentation
bin10010110100100010…
…11111101111010000
3222002012100021200102
421122101133233100
5131143221023410
64350353511532
7505253403416
oct113221375720
928065307612
1010104470480
11431578a255
121b5bb725a8
13c50537a20
146bbd992b6
153e21472a5
hex25a45fbd0

10104470480 has 80 divisors (see below), whose sum is σ = 25334784720. Its totient is φ = 3725758464.

The previous prime is 10104470479. The next prime is 10104470539. The reversal of 10104470480 is 8407440101.

It can be written as a sum of positive squares in 8 ways, for example, as 335915584 + 9768554896 = 18328^2 + 98836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 797636 + ... + 810204.

It is an arithmetic number, because the mean of its divisors is an integer number (316684809).

Almost surely, 210104470480 is an apocalyptic number.

10104470480 is a gapful number since it is divisible by the number (10) 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 10104470480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12667392360).

10104470480 is an abundant number, since it is smaller than the sum of its proper divisors (15230314240).

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

10104470480 is a wasteful number, since it uses less digits than its factorization.

10104470480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13368 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 10104470480 in words is "ten billion, one hundred four million, four hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 773 1040 1546 3092 3865 6184 7730 10049 12368 12569 15460 20098 25138 30920 40196 50245 50276 61840 62845 80392 100490 100552 125690 160784 163397 200980 201104 251380 326794 401960 502760 653588 803920 816985 1005520 1307176 1633970 2614352 3267940 6535880 9715837 13071760 19431674 38863348 48579185 77726696 97158370 126305881 155453392 194316740 252611762 388633480 505223524 631529405 777266960 1010447048 1263058810 2020894096 2526117620 5052235240 10104470480