Search a number
-
+
53764878403180 = 2257979719407359
BaseRepresentation
bin11000011100110000111000…
…11110101000011001101100
321001100212112211002022011101
430032120130132220121230
524021340432332400210
6310203124423332444
714216245544012230
oct1416303436503154
9231325484068141
1053764878403180
1116149614235a8a
126043bb0bb1124
132400010a42b99
14d3c33c1465c0
156338340e6a3a
hex30e61c7a866c

53764878403180 has 96 divisors (see below), whose sum is σ = 130379706777600. Its totient is φ = 18241712842752.

The previous prime is 53764878403133. The next prime is 53764878403189. The reversal of 53764878403180 is 8130487846735.

It is a super-2 number, since 2×537648784031802 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53764878403189) 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, 131780341 + ... + 132187699.

It is an arithmetic number, because the mean of its divisors is an integer number (1358121945600).

Almost surely, 253764878403180 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 53764878403180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65189853388800).

53764878403180 is an abundant number, since it is smaller than the sum of its proper divisors (76614828374420).

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

53764878403180 is a wasteful number, since it uses less digits than its factorization.

53764878403180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417191 (or 417189 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 64.

The spelling of 53764878403180 in words is "fifty-three trillion, seven hundred sixty-four billion, eight hundred seventy-eight million, four hundred three thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6790 9719 13580 19438 38876 48595 68033 97190 136066 194380 272132 340165 407359 680330 814718 942743 1360660 1629436 1885486 2036795 2851513 3770972 4073590 4713715 5703026 6599201 8147180 9427430 11406052 13198402 14257565 18854860 26396804 28515130 32996005 39513823 57030260 65992010 79027646 131984020 158055292 197569115 276596761 395138230 553193522 790276460 1106387044 1382983805 2765967610 3959122121 5531935220 7918244242 15836488484 19795610605 27713854847 39591221210 55427709694 79182442420 110855419388 138569274235 277138548470 384034845737 554277096940 768069691474 1536139382948 1920174228685 2688243920159 3840348457370 5376487840318 7680696914740 10752975680636 13441219600795 26882439201590 53764878403180