Search a number
-
+
4292248396638 = 23233117910635273
BaseRepresentation
bin111110011101011101111…
…100001110001101011110
3120012100001011121110220110
4332131131330032031132
51030311011042143023
613043455351230450
7622050626251656
oct76353574161536
916170034543813
104292248396638
1114053723595a4
12593a49378426
132519ac9b4b97
1410ba62b97366
15769b7d87a93
hex3e75df0e35e

4292248396638 has 128 divisors (see below), whose sum is σ = 9308864839680. Its totient is φ = 1315509085440.

The previous prime is 4292248396621. The next prime is 4292248396663. The reversal of 4292248396638 is 8366938422924.

It is a super-3 number, since 3×42922483966383 (a number of 39 digits) contains 333 as substring.

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, 814002370 + ... + 814007642.

It is an arithmetic number, because the mean of its divisors is an integer number (72725506560).

Almost surely, 24292248396638 is an apocalyptic number.

4292248396638 is an abundant number, since it is smaller than the sum of its proper divisors (5016616443042).

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

4292248396638 is a wasteful number, since it uses less digits than its factorization.

4292248396638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574.

The product of its digits is 214990848, while the sum is 66.

The spelling of 4292248396638 in words is "four trillion, two hundred ninety-two billion, two hundred forty-eight million, three hundred ninety-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 179 186 358 537 713 1063 1074 1426 2126 2139 3189 4117 4278 5273 5549 6378 8234 10546 11098 12351 15819 16647 24449 24702 31638 32953 33294 48898 65906 73347 98859 121279 127627 146694 163463 190277 197718 242558 255254 326926 363837 380554 382881 490389 570831 727674 757919 765762 943867 980778 1141662 1515838 1887734 2273757 2831601 3759649 4376371 4547514 5605199 5663202 5898587 7519298 8752742 11210398 11278947 11797174 13129113 16815597 17695761 21708941 22557894 26258226 29259877 33631194 35391522 43417882 58519754 65126823 87779631 128919577 130253646 135667501 173761169 175559262 257839154 271335002 347522338 386758731 407002503 521283507 672977171 773517462 814005006 1003330621 1042567014 1345954342 2006661242 2018931513 3009991863 3996506887 4037863026 6019983726 7993013774 11989520661 23076604283 23979041322 31103249251 46153208566 62206498502 69229812849 93309747753 138459625698 186619495506 715374732773 1430749465546 2146124198319 4292248396638