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48979577460 = 223511201736793
BaseRepresentation
bin101101100111011010…
…010000101001110100
311200102110201100001110
4231213122100221310
51300302232434320
634300110155020
73352521352632
oct554732205164
9150373640043
1048979577460
1119854770540
1295ab1b2a70
134807531cc8
142528dc8352
151419ecc5e0
hexb67690a74

48979577460 has 96 divisors (see below), whose sum is σ = 149688588672. Its totient is φ = 11867627520.

The previous prime is 48979577371. The next prime is 48979577477. The reversal of 48979577460 is 6477597984.

48979577460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 48979577391 and 48979577400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312824 + ... + 1349616.

It is an arithmetic number, because the mean of its divisors is an integer number (1559256132).

Almost surely, 248979577460 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 48979577460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844294336).

48979577460 is an abundant number, since it is smaller than the sum of its proper divisors (100709011212).

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

48979577460 is a wasteful number, since it uses less digits than its factorization.

48979577460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38833 (or 38831 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 48979577460 in words is "forty-eight billion, nine hundred seventy-nine million, five hundred seventy-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2017 4034 6051 8068 10085 12102 20170 22187 24204 30255 36793 40340 44374 60510 66561 73586 88748 110379 110935 121020 133122 147172 183965 220758 221870 266244 332805 367930 404723 441516 443740 551895 665610 735860 809446 1103790 1214169 1331220 1618892 2023615 2207580 2428338 4047230 4856676 6070845 8094460 12141690 24283380 74211481 148422962 222634443 296845924 371057405 445268886 742114810 816326291 890537772 1113172215 1484229620 1632652582 2226344430 2448978873 3265305164 4081631455 4452688860 4897957746 8163262910 9795915492 12244894365 16326525820 24489788730 48979577460