Search a number
-
+
4036363356432 = 2431130734771761
BaseRepresentation
bin111010101111001010000…
…000010000100100010000
3112021212120002202121022010
4322233022000100210100
51012112433004401212
612330140230542520
7564421563303411
oct72571200204420
915255502677263
104036363356432
1113168a2983560
12552335b07a40
1323382060aca4
14dd50a93d808
156eedd59303c
hex3abca010910

4036363356432 has 160 divisors (see below), whose sum is σ = 11445306453504. Its totient is φ = 1215625881600.

The previous prime is 4036363356419. The next prime is 4036363356433. The reversal of 4036363356432 is 2346533636304.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4036363356433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56211432 + ... + 56283192.

Almost surely, 24036363356432 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 4036363356432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722653226752).

4036363356432 is an abundant number, since it is smaller than the sum of its proper divisors (7408943097072).

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

4036363356432 is a wasteful number, since it uses less digits than its factorization.

4036363356432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72437 (or 72431 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 48.

The spelling of 4036363356432 in words is "four trillion, thirty-six billion, three hundred sixty-three million, three hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 307 347 528 614 694 921 1041 1228 1388 1842 2082 2456 2776 3377 3684 3817 4164 4912 5552 6754 7368 7634 8328 10131 11451 13508 14736 15268 16656 20262 22902 27016 30536 40524 45804 54032 61072 71761 81048 91608 106529 143522 162096 183216 213058 215283 287044 319587 426116 430566 574088 639174 789371 852232 861132 1148176 1171819 1278348 1578742 1704464 1722264 2343638 2368113 2556696 3157484 3444528 3515457 4687276 4736226 5113392 6314968 7030914 9374552 9472452 12629936 14061828 18749104 18944904 22030627 24901067 28123656 37889808 44061254 49802134 56247312 66091881 74703201 88122508 99604268 132183762 149406402 176245016 199208536 242336897 264367524 273911737 298812804 352490032 398417072 484673794 528735048 547823474 597625608 727010691 821735211 969347588 1057470096 1095646948 1195251216 1454021382 1643470422 1938695176 2191293896 2908042764 3286940844 3877390352 4382587792 5816085528 6573881688 7644627569 11632171056 13147763376 15289255138 22933882707 30578510276 45867765414 61157020552 84090903259 91735530828 122314041104 168181806518 183471061656 252272709777 336363613036 366942123312 504545419554 672727226072 1009090839108 1345454452144 2018181678216 4036363356432