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53961390252 = 223271139434937
BaseRepresentation
bin110010010000010110…
…010111100010101100
312011021122212122110100
4302100112113202230
51341003103442002
640442311511100
73620133151320
oct622026274254
9164248778410
1053961390252
11209808861a0
12a55b688490
13511c693623
14287c8b3980
15160c54011c
hexc905978ac

53961390252 has 144 divisors (see below), whose sum is σ = 170137723392. Its totient is φ = 14009552640.

The previous prime is 53961390221. The next prime is 53961390253. The reversal of 53961390252 is 25209316935.

53961390252 is a `hidden beast` number, since 5 + 3 + 9 + 6 + 1 + 390 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53961390198 and 53961390207.

It is not an unprimeable number, because it can be changed into a prime (53961390253) 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, 10927528 + ... + 10932464.

It is an arithmetic number, because the mean of its divisors is an integer number (1181511968).

Almost surely, 253961390252 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 53961390252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85068861696).

53961390252 is an abundant number, since it is smaller than the sum of its proper divisors (116176333140).

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

53961390252 is a wasteful number, since it uses less digits than its factorization.

53961390252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 53961390252 in words is "fifty-three billion, nine hundred sixty-one million, three hundred ninety thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3943 4937 7886 9874 11829 14811 15772 19748 23658 27601 29622 34559 35487 43373 44433 47316 54307 55202 59244 69118 70974 82803 86746 88866 103677 108614 110404 130119 138236 141948 162921 165606 173492 177732 207354 217228 248409 260238 303611 311031 325842 331212 380149 390357 414708 488763 496818 520476 607222 622062 651684 760298 780714 910833 977526 993636 1140447 1214444 1244124 1520596 1561428 1821666 1955052 2280894 2732499 3421341 3643332 4561788 5464998 6842682 10929996 13685364 19466591 38933182 58399773 77866364 116799546 136266137 175199319 214132501 233599092 272532274 350398638 408798411 428265002 545064548 642397503 700797276 817596822 856530004 1226395233 1284795006 1498927507 1635193644 1927192509 2452790466 2569590012 2997855014 3854385018 4496782521 4905580932 5995710028 7708770036 8993565042 13490347563 17987130084 26980695126 53961390252