Search a number
-
+
45216435192 = 23337149563607
BaseRepresentation
bin101010000111000111…
…000000101111111000
311022201012200220022220
4222013013000233320
51220100401411232
632434441044040
73160335233445
oct520707005770
9138635626286
1045216435192
11181a3554005
12891aa86620
134357a010c6
14228d2cc9cc
15129994242c
hexa871c0bf8

45216435192 has 128 divisors (see below), whose sum is σ = 117275904000. Its totient is φ = 14516540928.

The previous prime is 45216435191. The next prime is 45216435197. The reversal of 45216435192 is 29153461254.

It is a super-2 number, since 2×452164351922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45216435191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74491353 + ... + 74491959.

It is an arithmetic number, because the mean of its divisors is an integer number (916218000).

Almost surely, 245216435192 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 45216435192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58637952000).

45216435192 is an abundant number, since it is smaller than the sum of its proper divisors (72059468808).

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

45216435192 is a wasteful number, since it uses less digits than its factorization.

45216435192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 45216435192 in words is "forty-five billion, two hundred sixteen million, four hundred thirty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 149 222 296 298 444 447 563 596 607 888 894 1126 1192 1214 1689 1788 1821 2252 2428 3378 3576 3642 4504 4856 5513 6756 7284 11026 13512 14568 16539 20831 22052 22459 33078 41662 44104 44918 62493 66156 67377 83324 83887 89836 90443 124986 132312 134754 166648 167774 179672 180886 249972 251661 269508 271329 335548 341741 361772 499944 503322 539016 542658 671096 683482 723544 1006644 1025223 1085316 1366964 2013288 2050446 2170632 2733928 3103819 3346391 4100892 6207638 6692782 8201784 9311457 10039173 12415276 12644417 13385564 18622914 20078346 24830552 25288834 26771128 37245828 37933251 40156692 50577668 50919409 74491656 75866502 80313384 101155336 101838818 151733004 152758227 203677636 303466008 305516454 407355272 611032908 1222065816 1884018133 3768036266 5652054399 7536072532 11304108798 15072145064 22608217596 45216435192