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58087776440 = 23531367127643
BaseRepresentation
bin110110000110010011…
…010010000010111000
312112221020101210011102
4312012103102002320
51422430432321230
642403554350532
74124316644621
oct660623220270
9175836353142
1058087776440
11226a9043211
12b31158b448
135629536965
142b50926a48
15179e92d045
hexd864d20b8

58087776440 has 64 divisors (see below), whose sum is σ = 135282216960. Its totient is φ = 22424146560.

The previous prime is 58087776419. The next prime is 58087776443. The reversal of 58087776440 is 4467778085.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58087776443) 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, 391259 + ... + 518901.

It is an arithmetic number, because the mean of its divisors is an integer number (2113784640).

Almost surely, 258087776440 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 58087776440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67641108480).

58087776440 is an abundant number, since it is smaller than the sum of its proper divisors (77194440520).

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

58087776440 is a wasteful number, since it uses less digits than its factorization.

58087776440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128052 (or 128048 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 56.

The spelling of 58087776440 in words is "fifty-eight billion, eighty-seven million, seven hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 367 620 734 1240 1468 1835 2936 3670 7340 11377 14680 22754 45508 56885 91016 113770 127643 227540 255286 455080 510572 638215 1021144 1276430 2552860 3956933 5105720 7913866 15827732 19784665 31655464 39569330 46844981 79138660 93689962 158277320 187379924 234224905 374759848 468449810 936899620 1452194411 1873799240 2904388822 5808777644 7260972055 11617555288 14521944110 29043888220 58087776440