Search a number
-
+
45678037239471 = 3713317373936729
BaseRepresentation
bin10100110001011001111110…
…01011110000011010101111
312222201202222221201200221110
422120230333023300122233
521441342110013130341
6241052111200003103
712423062226203460
oct1230547713603257
9188652887650843
1045678037239471
1113610a4621a16a
125158862300493
131c645608b4b70
14b3cb8631ad67
155432cd2c1216
hex298b3f2f06af

45678037239471 has 64 divisors (see below), whose sum is σ = 78436815134720. Its totient is φ = 22997279877120.

The previous prime is 45678037239463. The next prime is 45678037239539. The reversal of 45678037239471 is 17493273087654.

It is not a de Polignac number, because 45678037239471 - 23 = 45678037239463 is a prime.

It is a super-3 number, since 3×456780372394713 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45678037239871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36350566 + ... + 37586163.

It is an arithmetic number, because the mean of its divisors is an integer number (1225575236480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅45678037239471 = 91356074478942, but 3⋅45678037239471 = 137034111718413 is not.

Almost surely, 245678037239471 is an apocalyptic number.

45678037239471 is a deficient number, since it is larger than the sum of its proper divisors (32758777895249).

45678037239471 is a wasteful number, since it uses less digits than its factorization.

45678037239471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73936856.

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 45678037239471 in words is "forty-five trillion, six hundred seventy-eight billion, thirty-seven million, two hundred thirty-nine thousand, four hundred seventy-one".

Divisors: 1 3 7 13 21 31 39 73 91 93 217 219 273 403 511 651 949 1209 1533 2263 2821 2847 6643 6789 8463 15841 19929 29419 47523 88257 205933 617799 73936729 221810187 517557103 961177477 1552671309 2292038599 2883532431 5397381217 6728242339 6876115797 16044270193 16192143651 20184727017 29796501787 37781668519 48132810579 70165955821 89389505361 113345005557 167318817727 208575512509 210497867463 491161690747 501956453181 625726537527 1171231724089 1473485072241 2175144630451 3513695172267 6525433891353 15226012413157 45678037239471