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46891050071616 = 2634951072
BaseRepresentation
bin10101010100101101011000…
…11000011111011001000000
320011000201222220101011210000
422222112230120133121000
522121230332304242431
6243421241230440000
712606523635150612
oct1252265430373100
9204021886334700
1046891050071616
1113a39423355693
125313971963000
132021a6511523a
14b81778b90db2
15564b255e59e6
hex2aa5ac61f640

46891050071616 has 105 divisors (see below), whose sum is σ = 139001223571419. Its totient is φ = 15630185678976.

The previous prime is 46891050071539. The next prime is 46891050071617. The reversal of 46891050071616 is 61617005019864.

The square root of 46891050071616 is 6847704.

It is a perfect power (a square), and thus also a powerful number.

46891050071616 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 1 + 0 + 500 + 71 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46891050071617) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 492987135 + ... + 493082241.

Almost surely, 246891050071616 is an apocalyptic number.

46891050071616 is the 6847704-th square number.

It is an amenable number.

46891050071616 is an abundant number, since it is smaller than the sum of its proper divisors (92110173499803).

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

46891050071616 is an frugal number, since it uses more digits than its factorization.

46891050071616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190238 (or 95112 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 46891050071616 in words is "forty-six trillion, eight hundred ninety-one billion, fifty million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 95107 190214 285321 380428 570642 760856 855963 1141284 1521712 1711926 2282568 2567889 3043424 3423852 4565136 5135778 6086848 6847704 7703667 9130272 10271556 13695408 15407334 18260544 20543112 27390816 30814668 41086224 54781632 61629336 82172448 123258672 164344896 246517344 493034688 9045341449 18090682898 27136024347 36181365796 54272048694 72362731592 81408073041 108544097388 144725463184 162816146082 217088194776 244224219123 289450926368 325632292164 434176389552 488448438246 578901852736 651264584328 732672657369 868352779104 976896876492 1302529168656 1465345314738 1736705558208 1953793752984 2605058337312 2930690629476 3907587505968 5210116674624 5861381258952 7815175011936 11722762517904 15630350023872 23445525035808 46891050071616