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44985172656 = 24323831992467
BaseRepresentation
bin101001111001010100…
…110100001010110000
311022010002112112202210
4221321110310022300
51214112201011111
632355500212120
73151526441604
oct517124641260
9138102475683
1044985172656
1118094a59046
12887553a040
13431bb1c278
14226a6cd504
1512844b00a6
hexa795342b0

44985172656 has 160 divisors (see below), whose sum is σ = 123392102400. Its totient is φ = 14093367552.

The previous prime is 44985172619. The next prime is 44985172669. The reversal of 44985172656 is 65627158944.

It is a junction number, because it is equal to n+sod(n) for n = 44985172596 and 44985172605.

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, 18233535 + ... + 18236001.

It is an arithmetic number, because the mean of its divisors is an integer number (771200640).

Almost surely, 244985172656 is an apocalyptic number.

44985172656 is a gapful number since it is divisible by the number (46) 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 44985172656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61696051200).

44985172656 is an abundant number, since it is smaller than the sum of its proper divisors (78406929744).

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

44985172656 is a wasteful number, since it uses less digits than its factorization.

44985172656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2777 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 44985172656 in words is "forty-four billion, nine hundred eighty-five million, one hundred seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 199 249 276 332 368 398 498 552 597 664 796 996 1104 1194 1328 1592 1909 1992 2388 2467 3184 3818 3984 4577 4776 4934 5727 7401 7636 9154 9552 9868 11454 13731 14802 15272 16517 18308 19736 22908 27462 29604 30544 33034 36616 39472 45816 49551 54924 56741 59208 66068 73232 91632 99102 109848 113482 118416 132136 170223 198204 204761 219696 226964 264272 340446 379891 396408 409522 453928 490933 614283 680892 759782 792816 819044 907856 981866 1139673 1228566 1361784 1472799 1519564 1638088 1963732 2279346 2457132 2723568 2945598 3039128 3276176 3927464 4558692 4709503 4914264 5891196 6078256 7854928 9117384 9419006 9828528 11291459 11782392 14128509 18234768 18838012 22582918 23564784 28257018 33874377 37676024 40747439 45165836 56514036 67748754 75352048 81494878 90331672 113028072 122242317 135497508 162989756 180663344 226056144 244484634 270995016 325979512 488969268 541990032 651959024 937191097 977938536 1874382194 1955877072 2811573291 3748764388 5623146582 7497528776 11246293164 14995057552 22492586328 44985172656