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48830098944 = 2931115431873
BaseRepresentation
bin101101011110100000…
…000010111000000000
311200001001110001002010
4231132200002320000
51300001001131234
634233210252520
73346024664334
oct553640027000
9150031401063
1048830098944
1119788355080
129569127140
1347b2586593
1425131d77c4
15140bd026e9
hexb5e802e00

48830098944 has 160 divisors (see below), whose sum is σ = 142080263424. Its totient is φ = 14779514880.

The previous prime is 48830098927. The next prime is 48830098981. The reversal of 48830098944 is 44989003884.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26069592 + ... + 26071464.

Almost surely, 248830098944 is an apocalyptic number.

48830098944 is a gapful number since it is divisible by the number (44) 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 48830098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71040131712).

48830098944 is an abundant number, since it is smaller than the sum of its proper divisors (93250164480).

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

48830098944 is a wasteful number, since it uses less digits than its factorization.

48830098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 48830098944 in words is "forty-eight billion, eight hundred thirty million, ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 1543 1873 2112 2816 3086 3746 4224 4629 5619 5632 6172 7492 8448 9258 11238 12344 14984 16896 16973 18516 20603 22476 24688 29968 33946 37032 41206 44952 49376 50919 59936 61809 67892 74064 82412 89904 98752 101838 119872 123618 135784 148128 164824 179808 197504 203676 239744 247236 271568 296256 329648 359616 395008 407352 479488 494472 543136 592512 659296 719232 790016 814704 958976 988944 1086272 1185024 1318592 1438464 1629408 1977888 2172544 2370048 2637184 2876928 2890039 3258816 3955776 4345088 5274368 5780078 6517632 7911552 8670117 8690176 10548736 11560156 13035264 15823104 17340234 23120312 26070528 31646208 31790429 34680468 46240624 63580858 69360936 92481248 95371287 127161716 138721872 184962496 190742574 254323432 277443744 369924992 381485148 508646864 554887488 739849984 762970296 1017293728 1109774976 1479699968 1525940592 2034587456 2219549952 3051881184 4069174912 4439099904 6103762368 8138349824 12207524736 16276699648 24415049472 48830098944