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45591416448 = 273592012333
BaseRepresentation
bin101010011101011101…
…011100111010000000
311100200100021220220120
4222131131130322000
51221332400311243
632535554140240
73202540434324
oct523535347200
9140610256816
1045591416448
1118376190a76
128a04581680
1343b75c2ac6
1422c701d984
1512bc812c83
hexa9d75ce80

45591416448 has 64 divisors (see below), whose sum is σ = 123154840800. Its totient is φ = 14939552768.

The previous prime is 45591416417. The next prime is 45591416473. The reversal of 45591416448 is 84461419554.

45591416448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45591416448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983511 + ... + 1028822.

Almost surely, 245591416448 is an apocalyptic number.

45591416448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45591416448 is an abundant number, since it is smaller than the sum of its proper divisors (77563424352).

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

45591416448 is a wasteful number, since it uses less digits than its factorization.

45591416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012409 (or 2012397 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 45591416448 in words is "forty-five billion, five hundred ninety-one million, four hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5664 7552 11328 22656 2012333 4024666 6036999 8049332 12073998 16098664 24147996 32197328 48295992 64394656 96591984 118727647 128789312 193183968 237455294 257578624 356182941 386367936 474910588 712365882 772735872 949821176 1424731764 1899642352 2849463528 3799284704 5698927056 7598569408 11397854112 15197138816 22795708224 45591416448