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4972345040 = 245132367777
BaseRepresentation
bin1001010000101111…
…11111011011010000
3110211112100022002102
410220113333123100
540140410020130
62141222335532
7234135143525
oct45027773320
913745308072
104972345040
112121839473
12b6928a5a8
136131c8100
1435254314c
151e17e2645
hex1285ff6d0

4972345040 has 60 divisors (see below), whose sum is σ = 12518427564. Its totient is φ = 1835937792.

The previous prime is 4972345031. The next prime is 4972345051. The reversal of 4972345040 is 405432794.

It can be written as a sum of positive squares in 6 ways, for example, as 420414016 + 4551931024 = 20504^2 + 67468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4972344985 and 4972345003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170369 + ... + 197408.

Almost surely, 24972345040 is an apocalyptic number.

4972345040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4972345040 is an abundant number, since it is smaller than the sum of its proper divisors (7546082524).

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

4972345040 is a wasteful number, since it uses less digits than its factorization.

4972345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367816 (or 367797 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 4972345040 is about 70514.8568742786. The cubic root of 4972345040 is about 1706.8174952827.

The spelling of 4972345040 in words is "four billion, nine hundred seventy-two million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 367777 735554 1471108 1838885 2942216 3677770 4781101 5884432 7355540 9562202 14711080 19124404 23905505 29422160 38248808 47811010 62154313 76497616 95622020 124308626 191244040 248617252 310771565 382488080 497234504 621543130 994469008 1243086260 2486172520 4972345040