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48114934624 = 25174316312619
BaseRepresentation
bin101100110011110111…
…111010001101100000
311121012012201221001201
4230303313322031200
51242014410401444
634034222010544
73322222124221
oct546367721540
9147165657051
1048114934624
1119450698589
1293a9716a54
1346ca367b23
142486233248
1513b9136dd4
hexb33dfa360

48114934624 has 96 divisors (see below), whose sum is σ = 103268753280. Its totient is φ = 21978335232.

The previous prime is 48114934619. The next prime is 48114934657. The reversal of 48114934624 is 42643941184.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3806587 + ... + 3819205.

It is an arithmetic number, because the mean of its divisors is an integer number (1075716180).

Almost surely, 248114934624 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 48114934624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51634376640).

48114934624 is an abundant number, since it is smaller than the sum of its proper divisors (55153818656).

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

48114934624 is a wasteful number, since it uses less digits than its factorization.

48114934624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852 (or 12844 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 48114934624 in words is "forty-eight billion, one hundred fourteen million, nine hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 163 172 272 326 344 544 652 688 731 1304 1376 1462 2608 2771 2924 5216 5542 5848 7009 11084 11696 12619 14018 22168 23392 25238 28036 44336 50476 56072 88672 100952 112144 119153 201904 214523 224288 238306 403808 429046 476612 542617 858092 953224 1085234 1716184 1906448 2056897 2170468 3432368 3812896 4113794 4340936 6864736 8227588 8681872 9224489 16455176 17363744 18448978 32910352 34967249 36897956 65820704 69934498 73795912 88446571 139868996 147591824 176893142 279737992 295183648 353786284 559475984 707572568 1118951968 1415145136 1503591707 2830290272 3007183414 6014366828 12028733656 24057467312 48114934624