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45471896448 = 2731123468049
BaseRepresentation
bin101010010110010101…
…100001001110000000
311100101000101200021220
4222112111201032000
51221111301141243
632520044315040
73166556512446
oct522625411600
9140330350256
1045471896448
1118314777910
128990542a80
134398906504
1422b51cab96
1512b20a4783
hexa96561380

45471896448 has 128 divisors (see below), whose sum is σ = 137494368000. Its totient is φ = 13180231680.

The previous prime is 45471896447. The next prime is 45471896489. The reversal of 45471896448 is 84469817454.

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

It is a junction number, because it is equal to n+sod(n) for n = 45471896391 and 45471896400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45471896447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136873 + ... + 331176.

It is an arithmetic number, because the mean of its divisors is an integer number (1074174750).

Almost surely, 245471896448 is an apocalyptic number.

45471896448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45471896448 is an abundant number, since it is smaller than the sum of its proper divisors (92022471552).

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

45471896448 is a wasteful number, since it uses less digits than its factorization.

45471896448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468100 (or 468088 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 45471896448 in words is "forty-five billion, four hundred seventy-one million, eight hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 16192 24288 32384 48576 97152 468049 936098 1404147 1872196 2808294 3744392 5148539 5616588 7488784 10297078 10765127 11233176 14977568 15445617 20594156 21530254 22466352 29955136 30891234 32295381 41188312 43060508 44932704 59910272 61782468 64590762 82376624 86121016 89865408 118416397 123564936 129181524 164753248 172242032 179730816 236832794 247129872 258363048 329506496 344484064 355249191 473665588 494259744 516726096 659012992 688968128 710498382 947331176 988519488 1033452192 1377936256 1420996764 1894662352 1977038976 2066904384 2841993528 3789324704 4133808768 5683987056 7578649408 11367974112 15157298816 22735948224 45471896448