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5357763540 = 22325376712007
BaseRepresentation
bin1001111110101100…
…01111101111010100
3111211101120120212200
410333112033233110
541433041413130
62243351244500
7246525144603
oct47726175724
914741516780
105357763540
1122aa355058
121056379730
136750026ac
1438b7cda3a
15215575760
hex13f58fbd4

5357763540 has 144 divisors (see below), whose sum is σ = 16941654912. Its totient is φ = 1369260288.

The previous prime is 5357763539. The next prime is 5357763547. The reversal of 5357763540 is 453677535.

5357763540 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 7 + 635 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357763547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440217 + ... + 452223.

Almost surely, 25357763540 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 5357763540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470827456).

5357763540 is an abundant number, since it is smaller than the sum of its proper divisors (11583891372).

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

5357763540 is a wasteful number, since it uses less digits than its factorization.

5357763540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12126 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The square root of 5357763540 is about 73196.7454194515. The cubic root of 5357763540 is about 1749.8245854108.

The spelling of 5357763540 in words is "five billion, three hundred fifty-seven million, seven hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 67 74 90 111 134 148 180 185 201 222 268 333 335 370 402 444 555 603 666 670 740 804 1005 1110 1206 1332 1340 1665 2010 2220 2412 2479 3015 3330 4020 4958 6030 6660 7437 9916 12007 12060 12395 14874 22311 24014 24790 29748 36021 37185 44622 48028 49580 60035 72042 74370 89244 108063 111555 120070 144084 148740 180105 216126 223110 240140 360210 432252 444259 446220 540315 720420 804469 888518 1080630 1332777 1608938 1777036 2161260 2221295 2413407 2665554 3217876 3998331 4022345 4442590 4826814 5331108 6663885 7240221 7996662 8044690 8885180 9653628 12067035 13327770 14480442 15993324 16089380 19991655 24134070 26655540 28960884 29765353 36201105 39983310 48268140 59530706 72402210 79966620 89296059 119061412 144804420 148826765 178592118 267888177 297653530 357184236 446480295 535776354 595307060 892960590 1071552708 1339440885 1785921180 2678881770 5357763540