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48670683072 = 26311167137993
BaseRepresentation
bin101101010100111111…
…111010111111000000
311122121221110212121120
4231110333322333000
51244134143324242
634205313352240
73342050660124
oct552477727700
9148557425546
1048670683072
1119706371620
129523868680
13478853b96b
1424d9d7b584
1513ecd131ec
hexb54ffafc0

48670683072 has 112 divisors (see below), whose sum is σ = 141323519232. Its totient is φ = 14660270080.

The previous prime is 48670683067. The next prime is 48670683073. The reversal of 48670683072 is 27038607684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48670683073) 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, 283708 + ... + 421700.

It is an arithmetic number, because the mean of its divisors is an integer number (1261817136).

Almost surely, 248670683072 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 48670683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70661759616).

48670683072 is an abundant number, since it is smaller than the sum of its proper divisors (92652836160).

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

48670683072 is a wasteful number, since it uses less digits than its factorization.

48670683072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138186 (or 138176 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

It can be divided in two parts, 486706 and 83072, that added together give a triangular number (569778 = T1067).

The spelling of 48670683072 in words is "forty-eight billion, six hundred seventy million, six hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 167 176 192 264 334 352 501 528 668 704 1002 1056 1336 1837 2004 2112 2672 3674 4008 5344 5511 7348 8016 10688 11022 14696 16032 22044 29392 32064 44088 58784 88176 117568 137993 176352 275986 352704 413979 551972 827958 1103944 1517923 1655916 2207888 3035846 3311832 4415776 4553769 6071692 6623664 8831552 9107538 12143384 13247328 18215076 23044831 24286768 26494656 36430152 46089662 48573536 69134493 72860304 92179324 97147072 138268986 145720608 184358648 253493141 276537972 291441216 368717296 506986282 553075944 737434592 760479423 1013972564 1106151888 1474869184 1520958846 2027945128 2212303776 3041917692 4055890256 4424607552 6083835384 8111780512 12167670768 16223561024 24335341536 48670683072