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152616070240 = 2553165946691
BaseRepresentation
bin1000111000100010100…
…0000110110001100000
3112120221002001122120221
42032020220012301200
510000024203221430
6154035540012424
714011653123124
oct2161050066140
9476832048527
10152616070240
11597a687a477
12256b2991114
131151255ac0a
14755adb7584
153e835d657a
hex2388a06c60

152616070240 has 96 divisors (see below), whose sum is σ = 372759045120. Its totient is φ = 58986278400.

The previous prime is 152616070237. The next prime is 152616070267. The reversal of 152616070240 is 42070616251.

It is a super-2 number, since 2×1526160702402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152616070196 and 152616070205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3245295 + ... + 3291985.

It is an arithmetic number, because the mean of its divisors is an integer number (3882906720).

Almost surely, 2152616070240 is an apocalyptic number.

152616070240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152616070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186379522560).

152616070240 is an abundant number, since it is smaller than the sum of its proper divisors (220142974880).

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

152616070240 is a wasteful number, since it uses less digits than its factorization.

152616070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47396 (or 47388 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 152616070240 its reverse (42070616251), we get a palindrome (194686686491).

The spelling of 152616070240 in words is "one hundred fifty-two billion, six hundred sixteen million, seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 659 992 1240 1318 2480 2636 3295 4960 5272 6590 10544 13180 20429 21088 26360 40858 46691 52720 81716 93382 102145 105440 163432 186764 204290 233455 326864 373528 408580 466910 653728 747056 817160 933820 1447421 1494112 1634320 1867640 2894842 3268640 3735280 5789684 7237105 7470560 11579368 14474210 23158736 28948420 30769369 46317472 57896840 61538738 115793680 123077476 153846845 231587360 246154952 307693690 492309904 615387380 953850439 984619808 1230774760 1907700878 2461549520 3815401756 4769252195 4923099040 7630803512 9538504390 15261607024 19077008780 30523214048 38154017560 76308035120 152616070240