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46900892340 = 223251781118899
BaseRepresentation
bin101011101011100000…
…101101001010110100
311111001121022012010200
4223223200231022310
51232023112023330
633313532520500
73250151002311
oct535340551264
9144047265120
1046900892340
1118988370655
12910b020130
134565997c03
1423accc9d08
151347775a60
hexaeb82d2b4

46900892340 has 144 divisors (see below), whose sum is σ = 150828350400. Its totient is φ = 11756067840.

The previous prime is 46900892333. The next prime is 46900892347. The reversal of 46900892340 is 4329800964.

46900892340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46900892333) and next prime (46900892347).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46900892347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472211 + ... + 2491109.

It is an arithmetic number, because the mean of its divisors is an integer number (1047419100).

Almost surely, 246900892340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46900892340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75414175200).

46900892340 is an abundant number, since it is smaller than the sum of its proper divisors (103927458060).

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

46900892340 is a wasteful number, since it uses less digits than its factorization.

46900892340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19742 (or 19737 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 46900892340 in words is "forty-six billion, nine hundred million, eight hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 811 1020 1530 1622 2433 3060 3244 4055 4866 7299 8110 9732 12165 13787 14598 16220 18899 24330 27574 29196 36495 37798 41361 48660 55148 56697 68935 72990 75596 82722 94495 113394 124083 137870 145980 165444 170091 188990 206805 226788 248166 275740 283485 321283 340182 377980 413610 496332 566970 620415 642566 680364 827220 850455 963849 1133940 1240830 1285132 1606415 1700910 1927698 2481660 2891547 3212830 3401820 3855396 4819245 5783094 6425660 9638490 11566188 14457735 15327089 19276980 28915470 30654178 45981267 57830940 61308356 76635445 91962534 137943801 153270890 183925068 229906335 260560513 275887602 306541780 459812670 521121026 551775204 689719005 781681539 919625340 1042242052 1302802565 1379438010 1563363078 2345044617 2605605130 2758876020 3126726156 3908407695 4690089234 5211210260 7816815390 9380178468 11725223085 15633630780 23450446170 46900892340