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5661452412 = 22327114347497
BaseRepresentation
bin1010100010111001…
…01110100001111100
3112121120000120200200
411101130232201330
543043312434122
62333440323500
7260203360110
oct52134564174
915546016620
105661452412
112445818aa0
121120013590
136c2bc2555
143b9c83740
152320625ac
hex15172e87c

5661452412 has 144 divisors (see below), whose sum is σ = 18257471232. Its totient is φ = 1436279040.

The previous prime is 5661452333. The next prime is 5661452429. The reversal of 5661452412 is 2142541665.

5661452412 is a `hidden beast` number, since 5 + 6 + 614 + 5 + 24 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95448 + ... + 142944.

Almost surely, 25661452412 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 5661452412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128735616).

5661452412 is an abundant number, since it is smaller than the sum of its proper divisors (12596018820).

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

5661452412 is a wasteful number, since it uses less digits than its factorization.

5661452412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47568 (or 47563 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5661452412 is about 75242.6236384670. The cubic root of 5661452412 is about 1782.2800823428.

The spelling of 5661452412 in words is "five billion, six hundred sixty-one million, four hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 231 252 258 301 308 387 396 462 473 516 602 693 774 903 924 946 1204 1386 1419 1548 1806 1892 2709 2772 2838 3311 3612 4257 5418 5676 6622 8514 9933 10836 13244 17028 19866 29799 39732 47497 59598 94994 119196 142491 189988 284982 332479 427473 522467 569964 664958 854946 997437 1044934 1329916 1567401 1709892 1994874 2042371 2089868 2992311 3134802 3657269 3989748 4084742 4702203 5984622 6127113 6269604 7314538 8169484 9404406 10971807 11969244 12254226 14296597 14629076 18381339 18808812 21943614 22466081 24508452 28593194 32915421 36762678 42889791 43887228 44932162 57186388 65830842 67398243 73525356 85779582 89864324 128669373 131661684 134796486 157262567 171559164 202194729 257338746 269592972 314525134 404389458 471787701 514677492 629050268 808778916 943575402 1415363103 1887150804 2830726206 5661452412