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5429437132504 = 237116721963471
BaseRepresentation
bin100111100000010001110…
…1010111110111011011000
3201020001022210211202201211
41033000203222332323120
51202423441401220004
615314125440352504
71100156341105660
oct117004352767330
921201283752654
105429437132504
11180367a797240
12738317615734
13304cbc2a03b8
1414ab013151a0
159637360d504
hex4f023abeed8

5429437132504 has 96 divisors (see below), whose sum is σ = 12884460341760. Its totient is φ = 2083791441600.

The previous prime is 5429437132487. The next prime is 5429437132541. The reversal of 5429437132504 is 4052317349245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1783489 + ... + 3746959.

It is an arithmetic number, because the mean of its divisors is an integer number (134213128560).

Almost surely, 25429437132504 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 5429437132504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442230170880).

5429437132504 is an abundant number, since it is smaller than the sum of its proper divisors (7455023209256).

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

5429437132504 is a wasteful number, since it uses less digits than its factorization.

5429437132504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963629 (or 1963558 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 5429437132504 in words is "five trillion, four hundred twenty-nine billion, four hundred thirty-seven million, one hundred thirty-two thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 268 308 469 536 616 737 938 1474 1876 2948 3752 4489 5159 5896 8978 10318 17956 20636 31423 35912 41272 49379 62846 98758 125692 197516 251384 345653 395032 691306 1382612 1963471 2765224 3926942 7853884 13744297 15707768 21598181 27488594 43196362 54977188 86392724 109954376 131552557 151187267 172785448 263105114 302374534 526210228 604749068 920867899 1052420456 1209498136 1447078127 1841735798 2894156254 3683471596 5788312508 7366943192 8814021319 10129546889 11576625016 17628042638 20259093778 35256085276 40518187556 61698149233 70512170552 81036375112 96954234509 123396298466 193908469018 246792596932 387816938036 493585193864 678679641563 775633876072 1357359283126 2714718566252 5429437132504