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45645422454654 = 231137167448324967
BaseRepresentation
bin10100110000011101001110…
…01100001110011101111110
312222121122210222020222010020
422120032213030032131332
521440323311122022104
6241025114555553010
712420526056125331
oct1230164714163576
9188548728228106
1045645422454654
11135a912a002650
12515247b75b766
131c614638a1419
14b3b370902618
1554251ed462d9
hex2983a730e77e

45645422454654 has 128 divisors (see below), whose sum is σ = 102921173655552. Its totient is φ = 13374002586240.

The previous prime is 45645422454629. The next prime is 45645422454673.

45645422454654 is nontrivially palindromic in base 10.

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, 1828217679 + ... + 1828242645.

It is an arithmetic number, because the mean of its divisors is an integer number (804071669184).

Almost surely, 245645422454654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45645422454654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51460586827776).

45645422454654 is an abundant number, since it is smaller than the sum of its proper divisors (57275751200898).

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

45645422454654 is a wasteful number, since it uses less digits than its factorization.

45645422454654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29670.

The product of its digits is 368640000, while the sum is 60.

The spelling of 45645422454654 in words is "forty-five trillion, six hundred forty-five billion, four hundred twenty-two million, four hundred fifty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 167 222 334 407 501 814 1002 1221 1837 2442 3674 4483 5511 6179 8966 11022 12358 13449 18537 24967 26898 37074 49313 49934 67969 74901 98626 135938 147939 149802 165871 203907 274637 295878 331742 407814 497613 549274 748661 823911 923779 995226 1497322 1647822 1824581 1847558 2245983 2771337 3649162 4169489 4491966 5473743 5542674 8235271 8338978 10161569 10947486 12508467 16470542 20323138 24705813 25016934 27700457 30484707 45864379 49411626 55400914 60969414 83101371 91728758 111927061 137593137 154271093 166202742 223854122 275186274 304705027 308542186 335781183 462813279 609410054 671562366 914115081 925626558 1231197671 1696982023 1828230162 2462395342 3393964046 3693593013 4141301257 5090946069 7387186026 8282602514 10181892138 12423903771 18691819187 24847807542 37383638374 45554313827 56075457561 91108627654 112150915122 136662941481 205610011057 273325882962 411220022114 616830033171 691597309919 1233660066342 1383194619838 2074791929757 4149583859514 7607570409109 15215140818218 22822711227327 45645422454654