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42228501224598 = 23313167764347129
BaseRepresentation
bin10011001101000000101101…
…10100001001110010010110
312112112000010212010202211000
421212200112310021302112
521013332432303141343
6225451301115324130
711615623424650053
oct1146402664116226
9175460125122730
1042228501224598
1112501009056a27
1248a01bb750646
131a74190b5c330
14a5dc283d002a
154d36d83e0ed3
hex266816d09c96

42228501224598 has 128 divisors (see below), whose sum is σ = 101680267852800. Its totient is φ = 12913616422656.

The previous prime is 42228501224587. The next prime is 42228501224603. The reversal of 42228501224598 is 89542210582224.

42228501224598 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 8 + 501 + 2 + 2 + 45 + 98 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895995898 + ... + 896043026.

It is an arithmetic number, because the mean of its divisors is an integer number (794377092600).

Almost surely, 242228501224598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42228501224598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50840133926400).

42228501224598 is an abundant number, since it is smaller than the sum of its proper divisors (59451766628202).

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

42228501224598 is a wasteful number, since it uses less digits than its factorization.

42228501224598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54963 (or 54957 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 42228501224598 in words is "forty-two trillion, two hundred twenty-eight billion, five hundred one million, two hundred twenty-four thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 167 234 334 351 501 702 1002 1503 2171 3006 4342 4509 6513 7643 9018 13026 15286 19539 22929 39078 45858 47129 58617 68787 94258 99359 117234 137574 141387 198718 206361 282774 298077 412722 424161 596154 612677 848322 894231 1225354 1272483 1276381 1788462 1838031 2544966 2552762 2682693 3676062 3829143 5365386 5514093 7658286 7870543 11028186 11487429 15741086 16542279 16592953 22974858 23611629 33084558 33185906 34462287 47223258 49778859 68924574 70834887 99557718 102317059 141669774 149336577 204634118 212504661 298673154 306951177 360206947 425009322 448009731 613902354 720413894 896019462 920853531 1080620841 1841707062 2161241682 2762560593 3241862523 4682690311 5525121186 6483725046 9365380622 9725587569 14048070933 19451175138 28096141866 42144212799 60154560149 84288425598 120309120298 126432638397 180463680447 252865276794 360927360894 541391041341 782009281937 1082782082682 1564018563874 1624173124023 2346027845811 3248346248046 4692055691622 7038083537433 14076167074866 21114250612299 42228501224598