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45995640990 = 235131918773307
BaseRepresentation
bin101010110101100011…
…011100100010011110
311101201111220122201220
4222311203130202132
51223144341002430
633044034114210
73215546332455
oct526543344236
9141644818656
1045995640990
1118563381942
128ab7a1b966
134450283220
1423249a3b9c
1512e305d110
hexab58dc89e

45995640990 has 128 divisors (see below), whose sum is σ = 125242467840. Its totient is φ = 10717152768.

The previous prime is 45995640989. The next prime is 45995641001. The reversal of 45995640990 is 9904659954.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13906917 + ... + 13910223.

It is an arithmetic number, because the mean of its divisors is an integer number (978456780).

Almost surely, 245995640990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45995640990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62621233920).

45995640990 is an abundant number, since it is smaller than the sum of its proper divisors (79246826850).

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

45995640990 is a wasteful number, since it uses less digits than its factorization.

45995640990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226.

The product of its (nonzero) digits is 15746400, while the sum is 60.

The spelling of 45995640990 in words is "forty-five billion, nine hundred ninety-five million, six hundred forty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 1877 2470 3307 3705 3754 5631 6614 7410 9385 9921 11262 16535 18770 19842 24401 28155 33070 35663 42991 48802 49605 56310 62833 71326 73203 85982 99210 106989 122005 125666 128973 146406 178315 188499 213978 214955 244010 257946 314165 356630 366015 376998 429910 463619 534945 628330 644865 732030 816829 927238 942495 1069890 1289730 1390857 1633658 1884990 2318095 2450487 2781714 4084145 4636190 4900974 6207239 6954285 8168290 12252435 12414478 13908570 18621717 24504870 31036195 37243434 62072390 80694107 93108585 117937541 161388214 186217170 235875082 242082321 353812623 403470535 484164642 589687705 707625246 806941070 1179375410 1210411605 1533188033 1769063115 2420823210 3066376066 3538126230 4599564099 7665940165 9199128198 15331880330 22997820495 45995640990