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45424471248 = 24331324373319
BaseRepresentation
bin101010010011100000…
…100110110011010000
311100020201011020011000
4222103200212303100
51221012131034443
632511232022000
73165442430532
oct522340466320
9140221136130
1045424471248
111829aa25632
128978691900
13438bb40070
1422acba3852
1512acd378d3
hexa93826cd0

45424471248 has 160 divisors (see below), whose sum is σ = 140514617600. Its totient is φ = 13966815744.

The previous prime is 45424471237. The next prime is 45424471271. The reversal of 45424471248 is 84217442454.

45424471248 is a `hidden beast` number, since 45 + 42 + 447 + 124 + 8 = 666.

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, 13684533 + ... + 13687851.

It is an arithmetic number, because the mean of its divisors is an integer number (878216360).

Almost surely, 245424471248 is an apocalyptic number.

45424471248 is a gapful number since it is divisible by the number (48) 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 45424471248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70257308800).

45424471248 is an abundant number, since it is smaller than the sum of its proper divisors (95090146352).

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

45424471248 is a wasteful number, since it uses less digits than its factorization.

45424471248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5774 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 45.

The spelling of 45424471248 in words is "forty-five billion, four hundred twenty-four million, four hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2437 2808 3319 4874 5616 6638 7311 9748 9957 13276 14622 19496 19914 21933 26552 29244 29871 31681 38992 39828 43147 43866 53104 58488 59742 63362 65799 79656 86294 87732 89613 95043 116976 119484 126724 129441 131598 159312 172588 175464 179226 190086 238968 253448 258882 263196 285129 345176 350928 358452 380172 388323 477936 506896 517764 526392 570258 690352 716904 760344 776646 855387 1035528 1052784 1140516 1164969 1433808 1520688 1553292 1710774 2071056 2281032 2329938 3106584 3421548 4562064 4659876 6213168 6843096 8088403 9319752 13686192 16176806 18639504 24265209 32353612 48530418 64707224 72795627 97060836 105149239 129414448 145591254 194121672 210298478 218386881 291182508 315447717 388243344 420596956 436773762 582365016 630895434 841193912 873547524 946343151 1164730032 1261790868 1682387824 1747095048 1892686302 2523581736 2839029453 3494190096 3785372604 5047163472 5678058906 7570745208 11356117812 15141490416 22712235624 45424471248