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5101626240 = 2734598411
BaseRepresentation
bin1001100000001010…
…01010001110000000
3111011112121110120000
410300011022032000
540422004014430
62202121320000
7240265051614
oct46005121600
914145543500
105101626240
11218880a337
12ba4636000
13633c21669
14365797344
151ecd2ce60
hex13014a380

5101626240 has 160 divisors (see below), whose sum is σ = 18219013560. Its totient is φ = 1360419840.

The previous prime is 5101626239. The next prime is 5101626241. The reversal of 5101626240 is 426261015.

5101626240 is a `hidden beast` number, since 5 + 10 + 1 + 626 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5101626239) and next prime (5101626241).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×51016262403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101626241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2635 + ... + 101045.

Almost surely, 25101626240 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 5101626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9109506780).

5101626240 is an abundant number, since it is smaller than the sum of its proper divisors (13117387320).

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

5101626240 is an equidigital number, since it uses as much as digits as its factorization.

5101626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98442 (or 98421 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5101626240 is about 71425.6693353307. The cubic root of 5101626240 is about 1721.4835586637.

Adding to 5101626240 its reverse (426261015), we get a palindrome (5527887255).

The spelling of 5101626240 in words is "five billion, one hundred one million, six hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 98411 196822 295233 393644 492055 590466 787288 885699 984110 1180932 1476165 1574576 1771398 1968220 2361864 2657097 2952330 3149152 3542796 3936440 4428495 4723728 5314194 5904660 6298304 7085592 7872880 7971291 8856990 9447456 10628388 11809320 12596608 13285485 14171184 15745760 15942582 17713980 18894912 21256776 23618640 26570970 28342368 31491520 31885164 35427960 37789824 39856455 42513552 47237280 53141940 56684736 62983040 63770328 70855920 79712910 85027104 94474560 106283880 113369472 127540656 141711840 159425820 170054208 188949120 212567760 255081312 283423680 318851640 340108416 425135520 510162624 566847360 637703280 850271040 1020325248 1275406560 1700542080 2550813120 5101626240