Search a number
-
+
48667993440 = 2535119217423
BaseRepresentation
bin101101010100110101…
…101010010101100000
311122121202102020010120
4231110311222111200
51244133001242230
634205140000240
73342016055463
oct552465522540
9148552366116
1048667993440
11197048a4890
129522990080
134787b09671
1424d987b2da
1513ec981310
hexb54d6a560

48667993440 has 96 divisors (see below), whose sum is σ = 167240941056. Its totient is φ = 11798300160.

The previous prime is 48667993433. The next prime is 48667993483. The reversal of 48667993440 is 4439976684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 15 ways as a sum of consecutive naturals, for example, 4603432 + ... + 4613991.

It is an arithmetic number, because the mean of its divisors is an integer number (1742093136).

Almost surely, 248667993440 is an apocalyptic number.

48667993440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48667993440 is an abundant number, since it is smaller than the sum of its proper divisors (118572947616).

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

48667993440 is a wasteful number, since it uses less digits than its factorization.

48667993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217452 (or 9217444 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 48667993440 in words is "forty-eight billion, six hundred sixty-seven million, nine hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 9217423 18434846 27652269 36869692 46087115 55304538 73739384 92174230 101391653 110609076 138261345 147478768 184348460 202783306 221218152 276522690 294957536 304174959 368696920 405566612 442436304 506958265 553045380 608349918 737393840 811133224 884872608 1013916530 1106090760 1216699836 1474787680 1520874795 1622266448 2027833060 2212181520 2433399672 3041749590 3244532896 4055666120 4424363040 4866799344 6083499180 8111332240 9733598688 12166998360 16222664480 24333996720 48667993440