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40647506172 = 223713211325339
BaseRepresentation
bin100101110110110001…
…111011100011111100
310212220210110020222120
4211312301323203330
51131221230144142
630401225042540
72636166046620
oct456661734374
9125823406876
1040647506172
1116269504009
127a64926450
133aaa272400
141d7859d180
1510cd78a7ec
hex976c7b8fc

40647506172 has 144 divisors (see below), whose sum is σ = 118416049920. Its totient is φ = 10624932864.

The previous prime is 40647506161. The next prime is 40647506173. The reversal of 40647506172 is 27160574604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40647506173) 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, 1591479 + ... + 1616817.

It is an arithmetic number, because the mean of its divisors is an integer number (822333680).

Almost surely, 240647506172 is an apocalyptic number.

40647506172 is a gapful number since it is divisible by the number (42) 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 40647506172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59208024960).

40647506172 is an abundant number, since it is smaller than the sum of its proper divisors (77768543748).

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

40647506172 is a wasteful number, since it uses less digits than its factorization.

40647506172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25492 (or 25477 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 40647506172 in words is "forty billion, six hundred forty-seven million, five hundred six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 113 156 169 182 226 273 338 339 364 452 507 546 676 678 791 1014 1092 1183 1356 1469 1582 2028 2366 2373 2938 3164 3549 4407 4732 4746 5876 7098 8814 9492 10283 14196 17628 19097 20566 25339 30849 38194 41132 50678 57291 61698 76017 76388 101356 114582 123396 133679 152034 177373 229164 267358 304068 329407 354746 401037 532119 534716 658814 709492 802074 988221 1064238 1317628 1604148 1976442 2128476 2305849 2863307 3952884 4282291 4611698 5726614 6917547 8564582 8589921 9223396 11453228 12846873 13835094 17129164 17179842 20043149 25693746 27670188 29976037 34359684 37222991 40086298 51387492 59952074 60129447 74445982 80172596 89928111 111668973 119904148 120258894 148891964 179856222 223337946 240517788 260560937 359712444 446675892 483898883 521121874 781682811 967797766 1042243748 1451696649 1563365622 1935595532 2903393298 3126731244 3387292181 5806786596 6774584362 10161876543 13549168724 20323753086 40647506172