Search a number
-
+
56752090040 = 23567193109721
BaseRepresentation
bin110100110110101100…
…000010101110111000
312102111011001212212202
4310312230002232320
51412212013340130
642023242125332
74046240543312
oct646654025670
9172434055782
1056752090040
1122083091258
12abba1b0848
1354758b5689
142a653967b2
15172253e145
hexd36b02bb8

56752090040 has 64 divisors (see below), whose sum is σ = 130270736160. Its totient is φ = 22245949440.

The previous prime is 56752090001. The next prime is 56752090081. The reversal of 56752090040 is 4009025765.

It is a happy number.

56752090040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56752089976 and 56752090003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462380 + ... + 572100.

Almost surely, 256752090040 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 56752090040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65135368080).

56752090040 is an abundant number, since it is smaller than the sum of its proper divisors (73518646120).

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

56752090040 is a wasteful number, since it uses less digits than its factorization.

56752090040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109992 (or 109988 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 56752090040 in words is "fifty-six billion, seven hundred fifty-two million, ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 193 268 335 386 536 670 772 965 1340 1544 1930 2680 3860 7720 12931 25862 51724 64655 103448 109721 129310 219442 258620 438884 517240 548605 877768 1097210 2194420 4388840 7351307 14702614 21176153 29405228 36756535 42352306 58810456 73513070 84704612 105880765 147026140 169409224 211761530 294052280 423523060 847046120 1418802251 2837604502 5675209004 7094011255 11350418008 14188022510 28376045020 56752090040