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46027550080 = 275313762701
BaseRepresentation
bin101010110111011101…
…001010110110000000
311101210201221210210001
4222313131022312000
51223231023100310
633051134045344
73216414502051
oct526735126600
9141721853701
1046027550080
111857a396696
128b06649854
134456a76145
142328d0c728
1512e5c6293a
hexab774ad80

46027550080 has 128 divisors (see below), whose sum is σ = 116655816960. Its totient is φ = 17335296000.

The previous prime is 46027550077. The next prime is 46027550081. The reversal of 46027550080 is 8005572064.

It is a happy number.

46027550080 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 (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46027550081) 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, 702730 + ... + 765430.

It is an arithmetic number, because the mean of its divisors is an integer number (911373570).

Almost surely, 246027550080 is an apocalyptic number.

46027550080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46027550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58327908480).

46027550080 is an abundant number, since it is smaller than the sum of its proper divisors (70628266880).

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

46027550080 is a wasteful number, since it uses less digits than its factorization.

46027550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62788 (or 62776 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 46027550080 in words is "forty-six billion, twenty-seven million, five hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 64 74 80 124 128 148 155 160 185 248 296 310 320 370 496 592 620 640 740 992 1147 1184 1240 1480 1984 2294 2368 2480 2960 3968 4588 4736 4960 5735 5920 9176 9920 11470 11840 18352 19840 22940 23680 36704 45880 62701 73408 91760 125402 146816 183520 250804 313505 367040 501608 627010 734080 1003216 1254020 1943731 2006432 2319937 2508040 3887462 4012864 4639874 5016080 7774924 8025728 9279748 9718655 10032160 11599685 15549848 18559496 19437310 20064320 23199370 31099696 37118992 38874620 40128640 46398740 62199392 71918047 74237984 77749240 92797480 124398784 143836094 148475968 155498480 185594960 248797568 287672188 296951936 310996960 359590235 371189920 575344376 621993920 719180470 742379840 1150688752 1243987840 1438360940 1484759680 2301377504 2876721880 4602755008 5753443760 9205510016 11506887520 23013775040 46027550080