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415426412050 = 252132436118743
BaseRepresentation
bin1100000101110010101…
…01111111111000010010
31110201021210002022001021
412002321111333320102
523301243130141200
6514502205430054
742004440145156
oct6027125777022
91421253068037
10415426412050
111501aa41a071
126861956b32a
1330236615800
141616cca5066
15ac15d8c41a
hex60b957fe12

415426412050 has 144 divisors (see below), whose sum is σ = 870243283008. Its totient is φ = 147357100800.

The previous prime is 415426412041. The next prime is 415426412069. The reversal of 415426412050 is 50214624514.

It is a junction number, because it is equal to n+sod(n) for n = 415426411997 and 415426412015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22154979 + ... + 22173721.

It is an arithmetic number, because the mean of its divisors is an integer number (6043356132).

Almost surely, 2415426412050 is an apocalyptic number.

415426412050 is an abundant number, since it is smaller than the sum of its proper divisors (454816870958).

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

415426412050 is a wasteful number, since it uses less digits than its factorization.

415426412050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18867 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 415426412050 in words is "four hundred fifteen billion, four hundred twenty-six million, four hundred twelve thousand, fifty".

Divisors: 1 2 5 10 13 25 26 43 50 61 65 86 122 130 169 215 305 325 338 430 559 610 650 793 845 1075 1118 1525 1586 1690 2150 2623 2795 3050 3965 4225 5246 5590 7267 7930 8450 10309 13115 13975 14534 18743 19825 20618 26230 27950 34099 36335 37486 39650 51545 65575 68198 72670 93715 103090 131150 170495 181675 187430 243659 257725 340990 363350 443287 468575 487318 515450 805949 852475 886574 937150 1143323 1218295 1611898 1704950 2216435 2286646 2436590 3167567 4029745 4432870 5716615 6091475 6335134 8059490 10477337 11082175 11433230 12182950 14863199 15837835 20148725 20954674 22164350 28583075 29726398 31675670 40297450 49162889 52386685 57166150 74315995 79189175 98325778 104773370 136205381 148631990 158378350 193221587 245814445 261933425 272410762 371579975 386443174 491628890 523866850 639117557 681026905 743159950 966107935 1229072225 1278235114 1362053810 1932215870 2458144450 3195587785 3405134525 4830539675 6391175570 6810269050 8308528241 9661079350 15977938925 16617056482 31955877850 41542641205 83085282410 207713206025 415426412050