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48415310101116 = 22327243638286533
BaseRepresentation
bin10110000001000100100010…
…10111000011101001111100
320100102110101012112111121200
423000202101113003221330
522321214023341213431
6250545404133055500
713124614342503300
oct1300422127035174
9210373335474550
1048415310101116
11144768aa405232
12551b265487590
13210270c66c68a
14bd54563c3d00
1558e5d76e6ee6
hex2c08915c3a7c

48415310101116 has 108 divisors (see below), whose sum is σ = 145674859081752. Its totient is φ = 13511249309376.

The previous prime is 48415310101099. The next prime is 48415310101129. The reversal of 48415310101116 is 61110101351484.

48415310101116 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 531 + 0 + 1 + 0 + 1 + 116 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319067415 + ... + 319219118.

It is an arithmetic number, because the mean of its divisors is an integer number (1348841287794).

Almost surely, 248415310101116 is an apocalyptic number.

It is an amenable number.

48415310101116 is an abundant number, since it is smaller than the sum of its proper divisors (97259548980636).

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

48415310101116 is a wasteful number, since it uses less digits than its factorization.

48415310101116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638286600 (or 638286588 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 48415310101116 in words is "forty-eight trillion, four hundred fifteen billion, three hundred ten million, one hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 49 63 84 86 98 126 129 147 172 196 252 258 294 301 387 441 516 588 602 774 882 903 1204 1548 1764 1806 2107 2709 3612 4214 5418 6321 8428 10836 12642 18963 25284 37926 75852 638286533 1276573066 1914859599 2553146132 3829719198 4468005731 5744578797 7659438396 8936011462 11489157594 13404017193 17872022924 22978315188 26808034386 27446320919 31276040117 40212051579 53616068772 54892641838 62552080234 80424103158 82338962757 93828120351 109785283676 125104160468 160848206316 164677925514 187656240702 192124246433 247016888271 281484361053 329355851028 375312481404 384248492866 494033776542 562968722106 576372739299 768496985732 988067553084 1125937444212 1152745478598 1344869725031 1729118217897 2305490957196 2689739450062 3458236435794 4034609175093 5379478900124 6916472871588 8069218350186 12103827525279 16138436700372 24207655050558 48415310101116