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45717214356 = 2232112337135661
BaseRepresentation
bin101010100100111101…
…010101010010010100
311101000010000010012100
4222210331111102110
51222112101324411
633000250322100
73205625624142
oct524475252224
9141003003170
1045717214356
11184301a2890
128a3a729330
134407699a38
1422d9a08592
1512c88b1456
hexaa4f55494

45717214356 has 144 divisors (see below), whose sum is σ = 135106328448. Its totient is φ = 12893126400.

The previous prime is 45717214327. The next prime is 45717214373. The reversal of 45717214356 is 65341271754.

45717214356 is a `hidden beast` number, since 4 + 571 + 7 + 21 + 4 + 3 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269166 + ... + 404826.

It is an arithmetic number, because the mean of its divisors is an integer number (938238392).

Almost surely, 245717214356 is an apocalyptic number.

45717214356 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 45717214356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67553164224).

45717214356 is an abundant number, since it is smaller than the sum of its proper divisors (89389114092).

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

45717214356 is a wasteful number, since it uses less digits than its factorization.

45717214356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135742 (or 135737 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 45717214356 in words is "forty-five billion, seven hundred seventeen million, two hundred fourteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 396 407 414 444 506 666 759 814 828 851 1012 1221 1332 1518 1628 1702 2277 2442 2553 3036 3404 3663 4554 4884 5106 7326 7659 9108 9361 10212 14652 15318 18722 28083 30636 37444 56166 84249 112332 135661 168498 271322 336996 406983 542644 813966 1220949 1492271 1627932 2441898 2984542 3120203 4476813 4883796 5019457 5969084 6240406 8953626 9360609 10038914 12480812 13430439 15058371 17907252 18721218 20077828 26860878 28081827 30116742 34322233 37442436 45175113 53721756 55214027 56163654 60233484 68644466 90350226 102966699 110428054 112327308 115447511 137288932 165642081 180700452 205933398 220856108 230895022 308900097 331284162 346342533 411866796 461790044 496926243 617800194 662568324 692685066 993852486 1039027599 1235600388 1269922621 1385370132 1987704972 2078055198 2539845242 3809767863 4156110396 5079690484 7619535726 11429303589 15239071452 22858607178 45717214356