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48340117130360 = 23511791999695689
BaseRepresentation
bin10101111110111000011111…
…00000101000110001111000
320100011021021212200211001212
422333130033200220301320
522314001024441132420
6250451050534502252
713116313111006226
oct1277341740506170
9210137255624055
1048340117130360
1114447a239943a0
12550877b504988
1320c85b8400783
14bd1961c37b16
1558c6862633c5
hex2bf70f828c78

48340117130360 has 128 divisors (see below), whose sum is σ = 120215232000000. Its totient is φ = 17347008107520.

The previous prime is 48340117130251. The next prime is 48340117130363. The reversal of 48340117130360 is 6303171104384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48340117130363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69137396 + ... + 69833084.

It is an arithmetic number, because the mean of its divisors is an integer number (939181500000).

Almost surely, 248340117130360 is an apocalyptic number.

48340117130360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48340117130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60107616000000).

48340117130360 is an abundant number, since it is smaller than the sum of its proper divisors (71875114869640).

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

48340117130360 is a wasteful number, since it uses less digits than its factorization.

48340117130360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697789 (or 697785 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 48340117130360 in words is "forty-eight trillion, three hundred forty billion, one hundred seventeen million, one hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 1999 3160 3476 3998 4345 6952 7996 8690 9995 15992 17380 19990 21989 34760 39980 43978 79960 87956 109945 157921 175912 219890 315842 439780 631684 695689 789605 879560 1263368 1391378 1579210 1737131 2782756 3158420 3474262 3478445 5565512 6316840 6948524 6956890 7652579 8685655 13897048 13913780 15305158 17371310 27827560 30610316 34742620 38262895 54959431 61220632 69485240 76525790 109918862 153051580 219837724 274797155 306103160 439675448 549594310 604553741 1099188620 1209107482 1390682311 2198377240 2418214964 2781364622 3022768705 4836429928 5562729244 6045537410 6953411555 11125458488 12091074820 13906823110 15297505421 24182149640 27813646220 30595010842 55627292440 61190021684 76487527105 109863902569 122380043368 152975054210 219727805138 305950108420 439455610276 549319512845 611900216840 878911220552 1098639025690 1208502928259 2197278051380 2417005856518 4394556102760 4834011713036 6042514641295 9668023426072 12085029282590 24170058565180 48340117130360