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10245555504 = 2432537916993
BaseRepresentation
bin10011000101010111…
…01100010100110000
3222110000211010221200
421202223230110300
5131440330234004
64412353451200
7511615533132
oct114253542460
928400733850
1010245555504
114388392548
121b9b270b00
13c73834ba2
146d2a03052
153ee715239
hex262aec530

10245555504 has 120 divisors (see below), whose sum is σ = 29585874240. Its totient is φ = 3308138496.

The previous prime is 10245555491. The next prime is 10245555533. The reversal of 10245555504 is 40555554201.

10245555504 is a `hidden beast` number, since 10 + 2 + 45 + 55 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594432 + ... + 611424.

It is an arithmetic number, because the mean of its divisors is an integer number (246548952).

Almost surely, 210245555504 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 10245555504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792937120).

10245555504 is an abundant number, since it is smaller than the sum of its proper divisors (19340318736).

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

10245555504 is a wasteful number, since it uses less digits than its factorization.

10245555504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17139 (or 17130 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 10245555504 in words is "ten billion, two hundred forty-five million, five hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 79 106 144 158 159 212 237 316 318 424 474 477 632 636 711 848 948 954 1264 1272 1422 1896 1908 2544 2844 3792 3816 4187 5688 7632 8374 11376 12561 16748 16993 25122 33496 33986 37683 50244 50979 66992 67972 75366 100488 101958 135944 150732 152937 200976 203916 271888 301464 305874 407832 602928 611748 815664 900629 1223496 1342447 1801258 2446992 2684894 2701887 3602516 4027341 5369788 5403774 7205032 8054682 8105661 10739576 10807548 12082023 14410064 16109364 16211322 21479152 21615096 24164046 32218728 32422644 43230192 48328092 64437456 64845288 71149691 96656184 129690576 142299382 193312368 213449073 284598764 426898146 569197528 640347219 853796292 1138395056 1280694438 1707592584 2561388876 3415185168 5122777752 10245555504