Search a number
-
+
64364417760 = 2535574123357
BaseRepresentation
bin111011111100011010…
…110001001011100000
320011010200000012101110
4323330122301023200
52023304242332020
645322452503320
74436003344506
oct737432611340
9204120005343
1064364417760
112532a043795
121058361ab40
1360b9a123c6
143188388676
151a1a9ad8e0
hexefc6b12e0

64364417760 has 96 divisors (see below), whose sum is σ = 202791913632. Its totient is φ = 17160120320.

The previous prime is 64364417639. The next prime is 64364417773. The reversal of 64364417760 is 6771446346.

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2744002 + ... + 2767358.

It is an arithmetic number, because the mean of its divisors is an integer number (2112415767).

Almost surely, 264364417760 is an apocalyptic number.

64364417760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64364417760 is an abundant number, since it is smaller than the sum of its proper divisors (138427495872).

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

64364417760 is a wasteful number, since it uses less digits than its factorization.

64364417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 29108 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 64364417760 in words is "sixty-four billion, three hundred sixty-four million, four hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5741 11482 17223 22964 23357 28705 34446 45928 46714 57410 68892 70071 86115 91856 93428 114820 116785 137784 140142 172230 183712 186856 229640 233570 275568 280284 344460 350355 373712 459280 467140 551136 560568 688920 700710 747424 918560 934280 1121136 1377840 1401420 1868560 2242272 2755680 2802840 3737120 5605680 11211360 134092537 268185074 402277611 536370148 670462685 804555222 1072740296 1340925370 1609110444 2011388055 2145480592 2681850740 3218220888 4022776110 4290961184 5363701480 6436441776 8045552220 10727402960 12872883552 16091104440 21454805920 32182208880 64364417760