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46212041040 = 24351146737483
BaseRepresentation
bin101011000010011100…
…111100100101010000
311102021121002220210120
4223002130330211100
51224120240303130
633121324230240
73224114603424
oct530234744520
9142247086716
1046212041040
1118664546460
128b5839b380
1344860601a9
142345614b84
151307056910
hexac273c950

46212041040 has 160 divisors (see below), whose sum is σ = 156619547136. Its totient is φ = 11178631680.

The previous prime is 46212041039. The next prime is 46212041077. The reversal of 46212041040 is 4014021264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 46212041040.

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, 1214139 + ... + 1251621.

Almost surely, 246212041040 is an apocalyptic number.

46212041040 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 46212041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78309773568).

46212041040 is an abundant number, since it is smaller than the sum of its proper divisors (110407506096).

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

46212041040 is a wasteful number, since it uses less digits than its factorization.

46212041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37977 (or 37971 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 46212041040 in words is "forty-six billion, two hundred twelve million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 467 528 660 880 934 1320 1401 1868 2335 2640 2802 3736 4670 5137 5604 7005 7472 9340 10274 11208 14010 15411 18680 20548 22416 25685 28020 30822 37360 37483 41096 51370 56040 61644 74966 77055 82192 102740 112080 112449 123288 149932 154110 187415 205480 224898 246576 299864 308220 374830 410960 412313 449796 562245 599728 616440 749660 824626 899592 1124490 1232880 1236939 1499320 1649252 1799184 2061565 2248980 2473878 2998640 3298504 4123130 4497960 4947756 6184695 6597008 8246260 8995920 9895512 12369390 16492520 17504561 19791024 24738780 32985040 35009122 49477560 52513683 70018244 87522805 98955120 105027366 140036488 175045610 192550171 210054732 262568415 280072976 350091220 385100342 420109464 525136830 577650513 700182440 770200684 840218928 962750855 1050273660 1155301026 1400364880 1540401368 1925501710 2100547320 2310602052 2888252565 3080802736 3851003420 4201094640 4621204104 5776505130 7702006840 9242408208 11553010260 15404013680 23106020520 46212041040