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46211761240 = 23519374913347
BaseRepresentation
bin101011000010011011…
…111000010001011000
311102021120120200222121
4223002123320101120
51224120202324430
633121314231024
73224112326611
oct530233702130
9142246520877
1046211761240
1118664375217
128b58285474
134485c92a28
142345580c08
151306eeda7a
hexac26f8458

46211761240 has 128 divisors (see below), whose sum is σ = 112669574400. Its totient is φ = 16998750720.

The previous prime is 46211761231. The next prime is 46211761313. The reversal of 46211761240 is 4216711264.

It is a junction number, because it is equal to n+sod(n) for n = 46211761196 and 46211761205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13805247 + ... + 13808593.

It is an arithmetic number, because the mean of its divisors is an integer number (880231050).

Almost surely, 246211761240 is an apocalyptic number.

46211761240 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 46211761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56334787200).

46211761240 is an abundant number, since it is smaller than the sum of its proper divisors (66457813160).

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

46211761240 is a wasteful number, since it uses less digits than its factorization.

46211761240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 46211761240 in words is "forty-six billion, two hundred eleven million, seven hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 491 703 740 760 982 1406 1480 1964 2455 2812 3347 3515 3928 4910 5624 6694 7030 9329 9820 13388 14060 16735 18167 18658 19640 26776 28120 33470 36334 37316 46645 63593 66940 72668 74632 90835 93290 123839 127186 133880 145336 181670 186580 247678 254372 317965 345173 363340 373160 495356 508744 619195 635930 690346 726680 990712 1238390 1271860 1380692 1643377 1725865 2352941 2476780 2543720 2761384 3286754 3451730 4705882 4953560 6573508 6903460 8216885 9411764 11764705 13147016 13806920 16433770 18823528 23529410 31224163 32867540 47058820 60804949 62448326 65735080 94117640 121609898 124896652 156120815 243219796 249793304 304024745 312241630 486439592 608049490 624483260 1155294031 1216098980 1248966520 2310588062 2432197960 4621176124 5776470155 9242352248 11552940310 23105880620 46211761240