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474601047136 = 25374124773947
BaseRepresentation
bin1101110100000000110…
…11010100010001100000
31200101000202121012222121
412322000123110101200
530233440332002021
61002010111314024
746201025224156
oct6720033242140
91611022535877
10474601047136
11173305a11267
1277b92b1b914
13359a707b798
1418d83ca93d6
15c52ae07741
hex6e806d4460

474601047136 has 96 divisors (see below), whose sum is σ = 983675562912. Its totient is φ = 225107619840.

The previous prime is 474601047133. The next prime is 474601047157. The reversal of 474601047136 is 631740106474.

It is a junction number, because it is equal to n+sod(n) for n = 474601047092 and 474601047101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474601047131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120241515 + ... + 120245461.

It is an arithmetic number, because the mean of its divisors is an integer number (10246620447).

Almost surely, 2474601047136 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 474601047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491837781456).

474601047136 is an abundant number, since it is smaller than the sum of its proper divisors (509074515776).

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

474601047136 is a wasteful number, since it uses less digits than its factorization.

474601047136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 474601047136 in words is "four hundred seventy-four billion, six hundred one million, forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 592 656 1184 1312 1517 2477 3034 3947 4954 6068 7894 9908 12136 15788 19816 24272 31576 39632 48544 63152 79264 91649 101557 126304 146039 161827 183298 203114 292078 323654 366596 406228 584156 647308 733192 812456 1168312 1294616 1466384 1624912 2336624 2589232 2932768 3249824 3757609 4673248 5178464 5987599 7515218 9776719 11975198 15030436 19553438 23950396 30060872 39106876 47900792 60121744 78213752 95801584 120243488 156427504 191603168 312855008 361738603 400845479 723477206 801690958 1446954412 1603381916 2893908824 3206763832 5787817648 6413527664 11575635296 12827055328 14831282723 29662565446 59325130892 118650261784 237300523568 474601047136