Search a number
-
+
46303378320 = 24351553124231
BaseRepresentation
bin101011000111111001…
…010111101110010000
311102111221222022222210
4223013321113232100
51224312131101240
633134350032120
73226304136033
oct530771275620
9142457868883
1046303378320
1118701060511
128b82aa8640
13449bc5ca14
1423537cd01a
151310099780
hexac7e57b90

46303378320 has 80 divisors (see below), whose sum is σ = 143634056832. Its totient is φ = 12339517440.

The previous prime is 46303378283. The next prime is 46303378321. The reversal of 46303378320 is 2387330364.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (46303378321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310605 + ... + 434835.

Almost surely, 246303378320 is an apocalyptic number.

46303378320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46303378320 is an abundant number, since it is smaller than the sum of its proper divisors (97330678512).

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

46303378320 is a wasteful number, since it uses less digits than its factorization.

46303378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125800 (or 125794 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 46303378320 in words is "forty-six billion, three hundred three million, three hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1553 3106 4659 6212 7765 9318 12424 15530 18636 23295 24848 31060 37272 46590 62120 74544 93180 124231 124240 186360 248462 372693 372720 496924 621155 745386 993848 1242310 1490772 1863465 1987696 2484620 2981544 3726930 4969240 5963088 7453860 9938480 14907720 29815440 192930743 385861486 578792229 771722972 964653715 1157584458 1543445944 1929307430 2315168916 2893961145 3086891888 3858614860 4630337832 5787922290 7717229720 9260675664 11575844580 15434459440 23151689160 46303378320