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48134185764 = 22371724742187
BaseRepresentation
bin101100110101000001…
…010110001100100100
311121020112221222122220
4230311001112030210
51242034322421024
634040150352340
73322544554050
oct546501261444
9147215858586
1048134185764
1119460547215
1293b405b6b0
134701348432
142488a04c60
1513bab8ae79
hexb35056324

48134185764 has 144 divisors (see below), whose sum is σ = 139256850432. Its totient is φ = 12667949568.

The previous prime is 48134185753. The next prime is 48134185769. The reversal of 48134185764 is 46758143184.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (48134185769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1119879 + ... + 1162065.

Almost surely, 248134185764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48134185764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69628425216).

48134185764 is an abundant number, since it is smaller than the sum of its proper divisors (91122664668).

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

48134185764 is a wasteful number, since it uses less digits than its factorization.

48134185764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42282 (or 42263 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 48134185764 in words is "forty-eight billion, one hundred thirty-four million, one hundred eighty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 47 51 68 84 94 102 119 141 188 204 238 282 289 329 357 476 564 578 658 714 799 867 987 1156 1316 1428 1598 1734 1974 2023 2397 3196 3468 3948 4046 4794 5593 6069 8092 9588 11186 12138 13583 16779 22372 24276 27166 33558 40749 42187 54332 67116 81498 84374 95081 126561 162996 168748 190162 253122 285243 295309 380324 506244 570486 590618 717179 885927 1140972 1181236 1434358 1771854 1982789 2151537 2868716 3543708 3965578 4303074 5020253 5948367 7931156 8606148 10040506 11896734 12192043 13879523 15060759 20081012 23793468 24384086 27759046 30121518 33707413 36576129 41638569 48768172 55518092 60243036 67414826 73152258 83277138 85344301 101122239 134829652 146304516 166554276 170688602 202244478 235951891 256032903 341377204 404488956 471903782 512065806 573026021 707855673 943807564 1024131612 1146052042 1415711346 1719078063 2292104084 2831422692 3438156126 4011182147 6876312252 8022364294 12033546441 16044728588 24067092882 48134185764