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48338007132 = 223237910720719
BaseRepresentation
bin101101000001001010…
…110111010001011100
311121202202111012000110
4231001022313101130
51242444012212012
634112311130020
73330601165332
oct550112672134
9147682435013
1048338007132
11195555aa228
129450373910
13473463cbac
1424a7addb52
1513cd9ec73c
hexb412b745c

48338007132 has 96 divisors (see below), whose sum is σ = 120301977600. Its totient is φ = 15074085312.

The previous prime is 48338007121. The next prime is 48338007161. The reversal of 48338007132 is 23170083384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322669 + ... + 2343387.

It is an arithmetic number, because the mean of its divisors is an integer number (1253145600).

Almost surely, 248338007132 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 48338007132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60150988800).

48338007132 is an abundant number, since it is smaller than the sum of its proper divisors (71963970468).

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

48338007132 is a wasteful number, since it uses less digits than its factorization.

48338007132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20935 (or 20933 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 48338007132 in words is "forty-eight billion, three hundred thirty-eight million, seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 107 138 158 214 237 276 316 321 428 474 642 948 1284 1817 2461 3634 4922 5451 7268 7383 8453 9844 10902 14766 16906 20719 21804 25359 29532 33812 41438 50718 62157 82876 101436 124314 194419 248628 388838 476537 583257 777676 953074 1166514 1429611 1636801 1906148 2216933 2333028 2859222 3273602 4433866 4910403 5718444 6547204 6650799 8867732 9820806 13301598 19641612 26603196 37646423 50989459 75292846 101978918 112939269 150585692 152968377 175137707 203957836 225878538 305936754 350275414 451757076 525413121 611873508 700550828 1050826242 2101652484 4028167261 8056334522 12084501783 16112669044 24169003566 48338007132