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48146336832 = 26311191199819
BaseRepresentation
bin101100110101101111…
…101100110001000000
311121021101211022210110
4230311233230301000
51242100430234312
634041303031320
73323053052646
oct546557546100
9147241738713
1048146336832
1119467396520
1293b813b540
134703a11109
14248a489196
1513bbc8b43c
hexb35becc40

48146336832 has 112 divisors (see below), whose sum is σ = 146282054400. Its totient is φ = 13821903360.

The previous prime is 48146336831. The next prime is 48146336857. The reversal of 48146336832 is 23863364184.

48146336832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48146336831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559782 + ... + 640037.

Almost surely, 248146336832 is an apocalyptic number.

It is an amenable number.

48146336832 is an abundant number, since it is smaller than the sum of its proper divisors (98135717568).

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

48146336832 is a wasteful number, since it uses less digits than its factorization.

48146336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199864 (or 1199854 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 48146336832 in words is "forty-eight billion, one hundred forty-six million, three hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 6688 10032 13376 20064 40128 1199819 2399638 3599457 4799276 7198914 9598552 13198009 14397828 19197104 22796561 26396018 28795656 38394208 39594027 45593122 52792036 57591312 68389683 76788416 79188054 91186244 105584072 115182624 136779366 158376108 182372488 211168144 230365248 250762171 273558732 316752216 364744976 422336288 501524342 547117464 633504432 729489952 752286513 844672576 1003048684 1094234928 1267008864 1458979904 1504573026 2006097368 2188469856 2534017728 3009146052 4012194736 4376939712 6018292104 8024389472 12036584208 16048778944 24073168416 48146336832