Search a number
-
+
5032574036352 = 27333739356341
BaseRepresentation
bin100100100111011110011…
…0010011010100110000000
3122211002221201220121212000
41021032330302122212000
51124423202423130402
614411533235104000
71026406606334142
oct111167462324600
918732851817760
105032574036352
111670336932165
1269341aa42000
132a675380b5a5
141358139d4c92
158ad972ecc1c
hex493bcc9a980

5032574036352 has 128 divisors (see below), whose sum is σ = 15254518159200. Its totient is φ = 1632186132480.

The previous prime is 5032574036351. The next prime is 5032574036461. The reversal of 5032574036352 is 2536304752305.

5032574036352 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 5 + 7 + 4 + 0 + 3 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×50325740363522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5032574036298 and 5032574036307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032574036351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19550299 + ... + 19806042.

Almost surely, 25032574036352 is an apocalyptic number.

It is an amenable number.

5032574036352 is an abundant number, since it is smaller than the sum of its proper divisors (10221944122848).

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

5032574036352 is a wasteful number, since it uses less digits than its factorization.

5032574036352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39356401 (or 39356383 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

Adding to 5032574036352 its reverse (2536304752305), we get a palindrome (7568878788657).

The spelling of 5032574036352 in words is "five trillion, thirty-two billion, five hundred seventy-four million, thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 127872 39356341 78712682 118069023 157425364 236138046 314850728 354207069 472276092 629701456 708414138 944552184 1062621207 1259402912 1416828276 1456184617 1889104368 2125242414 2518805824 2833656552 2912369234 3778208736 4250484828 4368553851 5037611648 5667313104 5824738468 7556417472 8500969656 8737107702 11334626208 11649476936 13105661553 15112834944 17001939312 17474215404 22669252416 23298953872 26211323106 34003878624 34948430808 39316984659 45338504832 46597907744 52422646212 68007757248 69896861616 78633969318 93195815488 104845292424 136015514496 139793723232 157267938636 186391630976 209690584848 279587446464 314535877272 419381169696 559174892928 629071754544 838762339392 1258143509088 1677524678784 2516287018176 5032574036352