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10045511504520 = 2335412656176871
BaseRepresentation
bin1001001000101110011100…
…1001010001001010001000
31022120100012222011020011220
42102023213021101022020
52304041201421121040
633210502210322040
72054523065633352
oct222134711211210
938510188136156
1010045511504520
1132233063a3a78
121162a79589320
1357b39801c05b
1426a2c36aa0d2
1512649071d2d0
hex922e7251288

10045511504520 has 128 divisors (see below), whose sum is σ = 30873135847680. Its totient is φ = 2613334016000.

The previous prime is 10045511504507. The next prime is 10045511504533. The reversal of 10045511504520 is 2540511554001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10045511504507) and next prime (10045511504533).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130641685 + ... + 130718555.

It is an arithmetic number, because the mean of its divisors is an integer number (241196373810).

Almost surely, 210045511504520 is an apocalyptic number.

10045511504520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045511504520 is an abundant number, since it is smaller than the sum of its proper divisors (20827624343160).

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

10045511504520 is a wasteful number, since it uses less digits than its factorization.

10045511504520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103487 (or 103483 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 10045511504520 in words is "ten trillion, forty-five billion, five hundred eleven million, five hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 26561 53122 76871 79683 106244 132805 153742 159366 212488 230613 265610 307484 318732 384355 398415 461226 531220 614968 637464 768710 796830 922452 1062440 1089001 1153065 1537420 1593660 1844904 2178002 2306130 3074840 3151711 3187320 3267003 4356004 4612260 5445005 6303422 6534006 8712008 9224520 9455133 10890010 12606844 13068012 15758555 16335015 18910266 21780020 25213688 26136024 31517110 32670030 37820532 43560040 47275665 63034220 65340060 75641064 94551330 126068440 130680120 189102660 378205320 2041770631 4083541262 6125311893 8167082524 10208853155 12250623786 16334165048 20417706310 24501247572 30626559465 40835412620 49002495144 61253118930 81670825240 83712595871 122506237860 167425191742 245012475720 251137787613 334850383484 418562979355 502275575226 669700766968 837125958710 1004551150452 1255688938065 1674251917420 2009102300904 2511377876130 3348503834840 5022755752260 10045511504520