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53506087640 = 23517317401619
BaseRepresentation
bin110001110101001101…
…100001101011011000
312010002221010212200122
4301311031201223120
51334040024301030
640325205052412
73602634145415
oct616515415330
9163087125618
1053506087640
1120767878645
12a4530b7108
13507925b1b5
14283823510c
1515d25a58e5
hexc75361ad8

53506087640 has 128 divisors (see below), whose sum is σ = 128398478400. Its totient is φ = 19997491200.

The previous prime is 53506087639. The next prime is 53506087709. The reversal of 53506087640 is 4678060535.

53506087640 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 = 53506087591 and 53506087600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86439251 + ... + 86439869.

Almost surely, 253506087640 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 53506087640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64199239200).

53506087640 is an abundant number, since it is smaller than the sum of its proper divisors (74892390760).

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

53506087640 is a wasteful number, since it uses less digits than its factorization.

53506087640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 53506087640 in words is "fifty-three billion, five hundred six million, eighty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 317 340 401 619 634 680 802 1238 1268 1585 1604 2005 2476 2536 3095 3170 3208 4010 4952 5389 6190 6340 6817 8020 10523 10778 12380 12680 13634 16040 21046 21556 24760 26945 27268 34085 42092 43112 52615 53890 54536 68170 84184 105230 107780 127117 136340 196223 210460 215560 248219 254234 272680 392446 420920 496438 508468 635585 784892 981115 992876 1016936 1241095 1271170 1569784 1962230 1985752 2160989 2482190 2542340 3335791 3924460 4219723 4321978 4964380 5084680 6671582 7848920 8439446 8643956 9928760 10804945 13343164 16678955 16878892 17287912 21098615 21609890 26686328 33357910 33757784 42197230 43219780 66715820 78685423 84394460 86439560 133431640 157370846 168788920 314741692 393427115 629483384 786854230 1337652191 1573708460 2675304382 3147416920 5350608764 6688260955 10701217528 13376521910 26753043820 53506087640