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20315655750 = 2353139721481
BaseRepresentation
bin10010111010111010…
…000100111001000110
31221102211111020112110
4102322322010321012
5313101301441000
613155523001450
71316304140025
oct227272047106
957384436473
1020315655750
118685726945
123b2b809286
131bb9bc76a0
14daa1b28bc
157dd81d850
hex4bae84e46

20315655750 has 128 divisors (see below), whose sum is σ = 55174025088. Its totient is φ = 4948992000.

The previous prime is 20315655743. The next prime is 20315655761. The reversal of 20315655750 is 5755651302.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 20315655699 and 20315655708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935010 + ... + 956490.

It is an arithmetic number, because the mean of its divisors is an integer number (431047071).

Almost surely, 220315655750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315655750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27587012544).

20315655750 is an abundant number, since it is smaller than the sum of its proper divisors (34858369338).

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

20315655750 is a wasteful number, since it uses less digits than its factorization.

20315655750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21611 (or 21601 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The spelling of 20315655750 in words is "twenty billion, three hundred fifteen million, six hundred fifty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 97 125 130 150 194 195 250 291 325 375 390 485 582 650 750 970 975 1261 1455 1625 1950 2425 2522 2910 3250 3783 4850 4875 6305 7275 7566 9750 12125 12610 14550 18915 21481 24250 31525 36375 37830 42962 63050 64443 72750 94575 107405 128886 157625 189150 214810 279253 315250 322215 472875 537025 558506 644430 837759 945750 1074050 1396265 1611075 1675518 2083657 2685125 2792530 3222150 4167314 4188795 5370250 6250971 6981325 8055375 8377590 10418285 12501942 13962650 16110750 20836570 20943975 27087541 31254855 34906625 41887950 52091425 54175082 62509710 69813250 81262623 104182850 104719875 135437705 156274275 162525246 209439750 260457125 270875410 312548550 406313115 520914250 677188525 781371375 812626230 1354377050 1562742750 2031565575 3385942625 4063131150 6771885250 10157827875 20315655750