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40452447768 = 23329971993011
BaseRepresentation
bin100101101011001001…
…110101111000011000
310212102012102021011020
4211223021311320120
51130321311312033
630330020202440
72631310063335
oct455311657030
9125365367136
1040452447768
1116179396817
127a0b539420
133a78a28435
141d5a70598c
1510bb5aa6b3
hex96b275e18

40452447768 has 128 divisors (see below), whose sum is σ = 106263360000. Its totient is φ = 12815953920.

The previous prime is 40452447751. The next prime is 40452447773. The reversal of 40452447768 is 86774425404.

It is a happy number.

40452447768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40452447768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13433383 + ... + 13436393.

It is an arithmetic number, because the mean of its divisors is an integer number (830182500).

Almost surely, 240452447768 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 40452447768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53131680000).

40452447768 is an abundant number, since it is smaller than the sum of its proper divisors (65810912232).

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

40452447768 is a wasteful number, since it uses less digits than its factorization.

40452447768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 51.

The spelling of 40452447768 in words is "forty billion, four hundred fifty-two million, four hundred forty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 97 116 174 194 199 232 291 348 388 398 582 597 696 776 796 1164 1194 1592 2328 2388 2813 3011 4776 5626 5771 6022 8439 9033 11252 11542 12044 16878 17313 18066 19303 22504 23084 24088 33756 34626 36132 38606 46168 57909 67512 69252 72264 77212 87319 115818 138504 154424 174638 231636 261957 292067 349276 463272 523914 559787 584134 599189 698552 876201 1047828 1119574 1168268 1198378 1679361 1752402 1797567 2095656 2239148 2336536 2396756 3358722 3504804 3595134 4478296 4793512 6717444 7009608 7190268 8469943 13434888 14380536 16939886 17376481 25409829 33879772 34752962 50819658 52129443 58121333 67759544 69505924 101639316 104258886 116242666 139011848 174363999 203278632 208517772 232485332 348727998 417035544 464970664 697455996 1394911992 1685518657 3371037314 5056555971 6742074628 10113111942 13484149256 20226223884 40452447768