Search a number
-
+
46377643480 = 23572167141689
BaseRepresentation
bin101011001100010100…
…101010110111011000
311102201010201101122021
4223030110222313120
51224440134042410
633150001504224
73231165315400
oct531424526730
9142633641567
1046377643480
1118739a74a83
128ba3942074
1344b14629bc
14235d601800
151316868eda
hexacc52add8

46377643480 has 96 divisors (see below), whose sum is σ = 122114109600. Its totient is φ = 15805579776.

The previous prime is 46377643469. The next prime is 46377643483. The reversal of 46377643480 is 8434677364.

46377643480 is digitally balanced in base 2, 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 (46377643483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256476 + ... + 398164.

It is an arithmetic number, because the mean of its divisors is an integer number (1272021975).

Almost surely, 246377643480 is an apocalyptic number.

46377643480 is a gapful number since it is divisible by the number (40) 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 46377643480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61057054800).

46377643480 is an abundant number, since it is smaller than the sum of its proper divisors (75736466120).

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

46377643480 is a wasteful number, since it uses less digits than its factorization.

46377643480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141881 (or 141870 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 52.

The spelling of 46377643480 in words is "forty-six billion, three hundred seventy-seven million, six hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 167 196 245 280 334 392 490 668 835 980 1169 1336 1670 1960 2338 3340 4676 5845 6680 8183 9352 11690 16366 23380 32732 40915 46760 65464 81830 141689 163660 283378 327320 566756 708445 991823 1133512 1416890 1983646 2833780 3967292 4959115 5667560 6942761 7934584 9918230 13885522 19836460 23662063 27771044 34713805 39672920 47324126 55542088 69427610 94648252 118310315 138855220 165634441 189296504 236620630 277710440 331268882 473241260 662537764 828172205 946482520 1159441087 1325075528 1656344410 2318882174 3312688820 4637764348 5797205435 6625377640 9275528696 11594410870 23188821740 46377643480