Search a number
-
+
46910114680 = 235111379103811
BaseRepresentation
bin101011101100000011…
…111000101101111000
311111002020122201210211
4223230003320231320
51232032442132210
633314502320504
73250322252512
oct535403705570
9144066581724
1046910114680
111899259a520
129112129134
134567876810
1423b020abb2
15134849838a
hexaec0f8b78

46910114680 has 128 divisors (see below), whose sum is σ = 125570995200. Its totient is φ = 15546585600.

The previous prime is 46910114663. The next prime is 46910114683. The reversal of 46910114680 is 8641101964.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46910114683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 399975 + ... + 503785.

It is an arithmetic number, because the mean of its divisors is an integer number (981023400).

Almost surely, 246910114680 is an apocalyptic number.

46910114680 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 46910114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62785497600).

46910114680 is an abundant number, since it is smaller than the sum of its proper divisors (78660880520).

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

46910114680 is a wasteful number, since it uses less digits than its factorization.

46910114680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103925 (or 103921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 46910114680 in words is "forty-six billion, nine hundred ten million, one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 79 88 104 110 130 143 158 220 260 286 316 395 440 520 572 632 715 790 869 1027 1144 1430 1580 1738 2054 2860 3160 3476 4108 4345 5135 5720 6952 8216 8690 10270 11297 17380 20540 22594 34760 41080 45188 56485 90376 103811 112970 207622 225940 415244 451880 519055 830488 1038110 1141921 1349543 2076220 2283842 2699086 4152440 4567684 5398172 5709605 6747715 8201069 9135368 10796344 11419210 13495430 14844973 16402138 22838420 26990860 29689946 32804276 41005345 45676840 53981720 59379892 65608552 74224865 82010690 90211759 106613897 118759784 148449730 164021380 180423518 213227794 296899460 328042760 360847036 426455588 451058795 533069485 593798920 721694072 852911176 902117590 1066138970 1172752867 1804235180 2132277940 2345505734 3608470360 4264555880 4691011468 5863764335 9382022936 11727528670 23455057340 46910114680