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48688715264 = 29729479967
BaseRepresentation
bin101101010110000100…
…101101011000000000
311122200012102000010112
4231112010231120000
51244203302342024
634211200050452
73342360152120
oct552604553000
9148605360115
1048688715264
1119715568462
129529903a28
13478c1b34b7
1424dc512c80
1513ee6c600e
hexb5612d600

48688715264 has 160 divisors (see below), whose sum is σ = 117472481280. Its totient is φ = 19716415488.

The previous prime is 48688715261. The next prime is 48688715267. The reversal of 48688715264 is 46251788684.

It is an interprime number because it is at equal distance from previous prime (48688715261) and next prime (48688715267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48688715261) 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, 4880009 + ... + 4889975.

It is an arithmetic number, because the mean of its divisors is an integer number (734203008).

Almost surely, 248688715264 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 48688715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58736240640).

48688715264 is an abundant number, since it is smaller than the sum of its proper divisors (68783766016).

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

48688715264 is an equidigital number, since it uses as much as digits as its factorization.

48688715264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10068 (or 10052 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 59.

The spelling of 48688715264 in words is "forty-eight billion, six hundred eighty-eight million, seven hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 47 56 58 64 94 112 116 128 188 203 224 232 256 329 376 406 448 464 512 658 752 812 896 928 1316 1363 1504 1624 1792 1856 2632 2726 3008 3248 3584 3712 5264 5452 6016 6496 7424 9541 9967 10528 10904 12032 12992 14848 19082 19934 21056 21808 24064 25984 38164 39868 42112 43616 51968 69769 76328 79736 84224 87232 103936 139538 152656 159472 168448 174464 279076 289043 305312 318944 348928 468449 558152 578086 610624 637888 697856 936898 1116304 1156172 1221248 1275776 1873796 2023301 2232608 2312344 2442496 2551552 3279143 3747592 4046602 4465216 4624688 4884992 5103104 6558286 7495184 8093204 8930432 9249376 13116572 13585021 14990368 16186408 17860864 18498752 26233144 27170042 29980736 32372816 35721728 36997504 52466288 54340084 59961472 64745632 73995008 95095147 104932576 108680168 119922944 129491264 147990016 190190294 209865152 217360336 239845888 258982528 380380588 419730304 434720672 517965056 760761176 839460608 869441344 1035930112 1521522352 1678921216 1738882688 3043044704 3477765376 6086089408 6955530752 12172178816 24344357632 48688715264