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48377119056 = 24372107192229
BaseRepresentation
bin101101000011100000…
…000100000101010000
311121212111002021111020
4231003200010011100
51243034020302211
634120225315440
73331554504300
oct550340040520
9147774067436
1048377119056
1119575693632
129461495b80
13473c785446
1424acda1600
1513d2176306
hexb43804150

48377119056 has 120 divisors (see below), whose sum is σ = 146737617120. Its totient is φ = 13692784896.

The previous prime is 48377119033. The next prime is 48377119093. The reversal of 48377119056 is 65091177384.

It is a happy number.

It is a super-2 number, since 2×483771190562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155550 + ... + 347778.

It is an arithmetic number, because the mean of its divisors is an integer number (1222813476).

Almost surely, 248377119056 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 48377119056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73368808560).

48377119056 is an abundant number, since it is smaller than the sum of its proper divisors (98360498064).

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

48377119056 is a wasteful number, since it uses less digits than its factorization.

48377119056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192361 (or 192348 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 48377119056 in words is "forty-eight billion, three hundred seventy-seven million, one hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 107 112 147 168 196 214 294 321 336 392 428 588 642 749 784 856 1176 1284 1498 1712 2247 2352 2568 2996 4494 5136 5243 5992 8988 10486 11984 15729 17976 20972 31458 35952 41944 62916 83888 125832 192229 251664 384458 576687 768916 1153374 1345603 1537832 2306748 2691206 3075664 4036809 4613496 5382412 8073618 9226992 9419221 10764824 16147236 18838442 20568503 21529648 28257663 32294472 37676884 41137006 56515326 61705509 64588944 75353768 82274012 113030652 123411018 143979521 150707536 164548024 226061304 246822036 287959042 329096048 431938563 452122608 493644072 575918084 863877126 987288144 1007856647 1151836168 1727754252 2015713294 2303672336 3023569941 3455508504 4031426588 6047139882 6911017008 8062853176 12094279764 16125706352 24188559528 48377119056