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46676817040 = 24571740112227
BaseRepresentation
bin101011011110001001…
…111011010010010000
311110110222122222121111
4223132021323102100
51231043231121130
633235410103104
73241460253460
oct533611732220
9143428588544
1046676817040
1118882934557
129067b7aa94
13452b431589
14238b23bba0
151332c6302a
hexade27b490

46676817040 has 160 divisors (see below), whose sum is σ = 131660930304. Its totient is φ = 15023308800.

The previous prime is 46676817029. The next prime is 46676817041. The reversal of 46676817040 is 4071867664.

46676817040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46676817041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3811407 + ... + 3823633.

Almost surely, 246676817040 is an apocalyptic number.

46676817040 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 46676817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65830465152).

46676817040 is an abundant number, since it is smaller than the sum of its proper divisors (84984113264).

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

46676817040 is a wasteful number, since it uses less digits than its factorization.

46676817040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 46676817040 in words is "forty-six billion, six hundred seventy-six million, eight hundred seventeen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 401 476 560 595 680 802 952 1190 1360 1604 1904 2005 2380 2807 3208 4010 4760 5614 6416 6817 8020 9520 11228 12227 13634 14035 16040 22456 24454 27268 28070 32080 34085 44912 47719 48908 54536 56140 61135 68170 85589 95438 97816 109072 112280 122270 136340 171178 190876 195632 207859 224560 238595 244540 272680 342356 381752 415718 427945 477190 489080 545360 684712 763504 831436 855890 954380 978160 1039295 1369424 1455013 1662872 1711780 1908760 2078590 2910026 3325744 3423560 3817520 4157180 4903027 5820052 6847120 7275065 8314360 9806054 11640104 14550130 16628720 19612108 23280208 24515135 29100260 34321189 39224216 49030270 58200520 68642378 78448432 83351459 98060540 116401040 137284756 166702918 171605945 196121080 274569512 333405836 343211890 392242160 416757295 549139024 583460213 666811672 686423780 833514590 1166920426 1333623344 1372847560 1667029180 2333840852 2745695120 2917301065 3334058360 4667681704 5834602130 6668116720 9335363408 11669204260 23338408520 46676817040