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48074129376 = 2537132423307
BaseRepresentation
bin101100110001011100…
…001111111111100000
311121002100221210210020
4230301130033333200
51241423434120001
634030203233440
73321215233410
oct546134177740
9147070853706
1048074129376
111942a657a39
129397b18880
1346c1a7b900
142480a50640
1513b5776736
hexb3170ffe0

48074129376 has 144 divisors (see below), whose sum is σ = 156170173824. Its totient is φ = 12678861312.

The previous prime is 48074129359. The next prime is 48074129417. The reversal of 48074129376 is 67392147084.

It is a super-3 number, since 3×480741293763 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98086 + ... + 325221.

It is an arithmetic number, because the mean of its divisors is an integer number (1084515096).

Almost surely, 248074129376 is an apocalyptic number.

It is an amenable number.

48074129376 is an abundant number, since it is smaller than the sum of its proper divisors (108096044448).

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

48074129376 is a wasteful number, since it uses less digits than its factorization.

48074129376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423353 (or 423332 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 48074129376 in words is "forty-eight billion, seventy-four million, one hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 14196 16224 18928 28392 37856 56784 113568 423307 846614 1269921 1693228 2539842 2963149 3386456 5079684 5502991 5926298 6772912 8889447 10159368 11005982 11852596 13545824 16508973 17778894 20318736 22011964 23705192 33017946 35557788 38520937 40637472 44023928 47410384 66035892 71115576 71538883 77041874 88047856 94820768 115562811 132071784 142231152 143077766 154083748 176095712 214616649 231125622 264143568 284462304 286155532 308167496 429233298 462251244 500772181 528287136 572311064 616334992 858466596 924502488 1001544362 1144622128 1232669984 1502316543 1716933192 1849004976 2003088724 2289244256 3004633086 3433866384 3698009952 4006177448 6009266172 6867732768 8012354896 12018532344 16024709792 24037064688 48074129376