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42000445548 = 223217971036869
BaseRepresentation
bin100111000111011010…
…111111000001101100
311000102002020200220100
4213013122333001230
51142004103224143
631143355151100
73014544616365
oct470732770154
9130362220810
1042000445548
11168a317a426
128181a45490
133c64654659
142066140b6c
15115c4366d3
hex9c76bf06c

42000445548 has 144 divisors (see below), whose sum is σ = 114691187520. Its totient is φ = 12912279552.

The previous prime is 42000445471. The next prime is 42000445579. The reversal of 42000445548 is 84554400024.

42000445548 is a `hidden beast` number, since 4 + 200 + 0 + 445 + 5 + 4 + 8 = 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 47 ways as a sum of consecutive naturals, for example, 6111058 + ... + 6117926.

It is an arithmetic number, because the mean of its divisors is an integer number (796466580).

Almost surely, 242000445548 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 42000445548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57345593760).

42000445548 is an abundant number, since it is smaller than the sum of its proper divisors (72690741972).

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

42000445548 is a wasteful number, since it uses less digits than its factorization.

42000445548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 42000445548 in words is "forty-two billion, four hundred forty-five thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 103 153 194 204 206 291 306 309 388 412 582 612 618 873 927 1164 1236 1649 1746 1751 1854 3298 3492 3502 3708 4947 5253 6596 6869 7004 9894 9991 10506 13738 14841 15759 19788 19982 20607 21012 27476 29682 29973 31518 39964 41214 59364 59946 61821 63036 82428 89919 116773 119892 123642 169847 179838 233546 247284 339694 350319 359676 467092 509541 666293 679388 700638 707507 1019082 1050957 1332586 1401276 1415014 1528623 1998879 2038164 2101914 2122521 2665172 2830028 3057246 3997758 4203828 4245042 5996637 6114492 6367563 7995516 8490084 11326981 11993274 12027619 12735126 22653962 23986548 24055238 25470252 33980943 36082857 45307924 48110476 67961886 68628179 72165714 101942829 108248571 135923772 137256358 144331428 203885658 205884537 216497142 274512716 407771316 411769074 432994284 617653611 823538148 1166679043 1235307222 2333358086 2470614444 3500037129 4666716172 7000074258 10500111387 14000148516 21000222774 42000445548