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31252500048 = 2437119478929
BaseRepresentation
bin11101000110110010…
…110100111001010000
32222200001002111102210
4131012302310321100
51003001120000143
622205053312120
72154315603330
oct350662647120
988601074383
1031252500048
1112288248940
126082495640
132c40a0b8a3
1417269230c0
15c2da85033
hex746cb4e50

31252500048 has 160 divisors (see below), whose sum is σ = 100774978560. Its totient is φ = 8108052480.

The previous prime is 31252500043. The next prime is 31252500077. The reversal of 31252500048 is 84000525213.

It is a junction number, because it is equal to n+sod(n) for n = 31252499988 and 31252500024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31252500043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3495648 + ... + 3504576.

It is an arithmetic number, because the mean of its divisors is an integer number (629843616).

Almost surely, 231252500048 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 31252500048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50387489280).

31252500048 is an abundant number, since it is smaller than the sum of its proper divisors (69522478512).

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

31252500048 is a wasteful number, since it uses less digits than its factorization.

31252500048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 31252500048 in words is "thirty-one billion, two hundred fifty-two million, five hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 947 1232 1848 1894 2841 3696 3788 5682 6629 7576 8929 10417 11364 13258 15152 17858 19887 20834 22728 26516 26787 31251 35716 39774 41668 45456 53032 53574 62502 62503 71432 72919 79548 83336 98219 106064 107148 125004 125006 142864 145838 159096 166672 187509 196438 214296 218757 250008 250012 291676 294657 318192 375018 392876 428592 437514 500016 500024 583352 589314 687533 750036 785752 875028 1000048 1166704 1178628 1375066 1500072 1571504 1750056 2062599 2357256 2750132 3000144 3500112 4125198 4714512 5500264 8250396 8455763 11000528 16500792 16911526 25367289 33001584 33823052 50734578 59190341 67646104 93013393 101469156 118380682 135292208 177571023 186026786 202938312 236761364 279040179 355142046 372053572 405876624 473522728 558080358 651093751 710284092 744107144 947045456 1116160716 1302187502 1420568184 1488214288 1953281253 2232321432 2604375004 2841136368 3906562506 4464642864 5208750008 7813125012 10417500016 15626250024 31252500048