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5153602652016 = 2437136101193387
BaseRepresentation
bin100101011111110101010…
…1001111100011101110000
3200020200100102121022202220
41022333222221330131300
51133414034234331031
614543310554241040
71041223035522060
oct112775251743560
920220312538686
105153602652016
1117076a3385475
126b2977126180
132b4ca0b41980
1413b6157b73a0
158e0cc738596
hex4afeaa7c770

5153602652016 has 160 divisors (see below), whose sum is σ = 16388584063488. Its totient is φ = 1358962099200.

The previous prime is 5153602651993. The next prime is 5153602652021. The reversal of 5153602652016 is 6102562063515.

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

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, 26552475 + ... + 26745861.

Almost surely, 25153602652016 is an apocalyptic number.

5153602652016 is a gapful number since it is divisible by the number (56) 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 5153602652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8194292031744).

5153602652016 is an abundant number, since it is smaller than the sum of its proper divisors (11234981411472).

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

5153602652016 is a wasteful number, since it uses less digits than its factorization.

5153602652016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199519 (or 199513 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 5153602652016 in words is "five trillion, one hundred fifty-three billion, six hundred two million, six hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 6101 12202 18303 24404 36606 42707 48808 73212 79313 85414 97616 128121 146424 158626 170828 193387 237939 256242 292848 317252 341656 386774 475878 512484 555191 580161 634504 683312 773548 951756 1024968 1110382 1160322 1269008 1353709 1547096 1665573 1903512 2049936 2220764 2320644 2514031 2707418 3094192 3331146 3807024 4061127 4441528 4641288 5028062 5414836 6662292 7542093 8122254 8883056 9282576 10056124 10829672 13324584 15084186 16244508 17598217 20112248 21659344 26649168 30168372 32489016 35196434 40224496 52794651 60336744 64978032 70392868 105589302 120673488 140785736 211178604 281571472 422357208 844714416 1179854087 2359708174 3539562261 4719416348 7079124522 8258978609 9438832696 14158249044 15338103131 16517957218 18877665392 24776935827 28316498088 30676206262 33035914436 46014309393 49553871654 56632996176 61352412524 66071828872 92028618786 99107743308 107366721917 122704825048 132143657744 184057237572 198215486616 214733443834 245409650096 322100165751 368114475144 396430973232 429466887668 644200331502 736228950288 858933775336 1288400663004 1717867550672 2576801326008 5153602652016