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46613713720 = 2357317199853
BaseRepresentation
bin101011011010011001…
…001101001100111000
311110022120221000010111
4223122121031030320
51230431102314340
633225233354104
73240063013000
oct533231151470
9143276830114
1046613713720
1118850254052
12904aa08934
13451b338c32
142382ad3000
15132c44aaea
hexada64d338

46613713720 has 128 divisors (see below), whose sum is σ = 129505392000. Its totient is φ = 15041660928.

The previous prime is 46613713717. The next prime is 46613713753. The reversal of 46613713720 is 2731731664.

46613713720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 133314 + ... + 333166.

It is an arithmetic number, because the mean of its divisors is an integer number (1011760875).

Almost surely, 246613713720 is an apocalyptic number.

46613713720 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 46613713720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64752696000).

46613713720 is an abundant number, since it is smaller than the sum of its proper divisors (82891678280).

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

46613713720 is a wasteful number, since it uses less digits than its factorization.

46613713720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199902 (or 199884 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 46613713720 in words is "forty-six billion, six hundred thirteen million, seven hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 343 392 476 490 595 680 686 833 952 980 1190 1372 1666 1715 1960 2380 2744 3332 3430 4165 4760 5831 6664 6860 8330 11662 13720 16660 23324 29155 33320 46648 58310 116620 199853 233240 399706 799412 999265 1398971 1598824 1998530 2797942 3397501 3997060 5595884 6795002 6994855 7994120 9792797 11191768 13590004 13989710 16987505 19585594 23782507 27180008 27979420 33975010 39171188 47565014 48963985 55958840 67950020 68549579 78342376 95130028 97927970 118912535 135900040 137099158 166477549 190260056 195855940 237825070 274198316 332955098 342747895 391711880 475650140 548396632 665910196 685495790 832387745 951300280 1165342843 1331820392 1370991580 1664775490 2330685686 2741983160 3329550980 4661371372 5826714215 6659101960 9322742744 11653428430 23306856860 46613713720