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253478500080 = 243513383212123
BaseRepresentation
bin1110110000010001111…
…1101111011011110000
3220020021100111222011120
43230010133233123300
513123110444000310
6312240231542240
724212301462261
oct3540437573360
9806240458146
10253478500080
1198555006903
124116152a980
131ab9793b470
14c3a87b4968
1568d83cab70
hex3b047ef6f0

253478500080 has 160 divisors (see below), whose sum is σ = 848441696256. Its totient is φ = 62231503872.

The previous prime is 253478500007. The next prime is 253478500087. The reversal of 253478500080 is 80005874352.

253478500080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253478500087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088899 + ... + 1301021.

Almost surely, 2253478500080 is an apocalyptic number.

253478500080 is a gapful number since it is divisible by the number (20) 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 253478500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424220848128).

253478500080 is an abundant number, since it is smaller than the sum of its proper divisors (594963196176).

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

253478500080 is a wasteful number, since it uses less digits than its factorization.

253478500080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212535 (or 212529 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 253478500080 in words is "two hundred fifty-three billion, four hundred seventy-eight million, five hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 383 390 520 624 766 780 1040 1149 1532 1560 1915 2298 3064 3120 3830 4596 4979 5745 6128 7660 9192 9958 11490 14937 15320 18384 19916 22980 24895 29874 30640 39832 45960 49790 59748 74685 79664 91920 99580 119496 149370 199160 212123 238992 298740 398320 424246 597480 636369 848492 1060615 1194960 1272738 1696984 2121230 2545476 2757599 3181845 3393968 4242460 5090952 5515198 6363690 8272797 8484920 10181904 11030396 12727380 13787995 16545594 16969840 22060792 25454760 27575990 33091188 41363985 44121584 50909520 55151980 66182376 81243109 82727970 110303960 132364752 162486218 165455940 220607920 243729327 324972436 330911880 406215545 487458654 649944872 661823760 812431090 974917308 1056160417 1218646635 1299889744 1624862180 1949834616 2112320834 2437293270 3168481251 3249724360 3899669232 4224641668 4874586540 5280802085 6336962502 6499448720 8449283336 9749173080 10561604170 12673925004 15842406255 16898566672 19498346160 21123208340 25347850008 31684812510 42246416680 50695700016 63369625020 84492833360 126739250040 253478500080