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48724160587172 = 227219107169971971
BaseRepresentation
bin10110001010000011110100…
…10010001010010110100100
320101111222120112012210210122
423011001322102022112210
522341244040102242142
6251343323110541112
713156130056353200
oct1305017222122644
9211458515183718
1048724160587172
1114585889462714
12556b09a967798
13212588cc8c985
14c06394b3bb00
15597661d9c1d2
hex2c507a48a5a4

48724160587172 has 144 divisors (see below), whose sum is σ = 105448192416000. Its totient is φ = 19586049376320.

The previous prime is 48724160587163. The next prime is 48724160587177. The reversal of 48724160587172 is 27178506142784.

It is not an unprimeable number, because it can be changed into a prime (48724160587177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676961147 + ... + 677033117.

It is an arithmetic number, because the mean of its divisors is an integer number (732279114000).

Almost surely, 248724160587172 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 48724160587172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52724096208000).

48724160587172 is an abundant number, since it is smaller than the sum of its proper divisors (56724031828828).

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

48724160587172 is a wasteful number, since it uses less digits than its factorization.

48724160587172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73814 (or 73805 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 62.

The spelling of 48724160587172 in words is "forty-eight trillion, seven hundred twenty-four billion, one hundred sixty million, five hundred eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 107 133 196 214 266 428 532 749 931 1498 1699 1862 2033 2996 3398 3724 4066 5243 6796 8132 10486 11893 14231 20972 23786 28462 32281 47572 56924 64562 71971 83251 99617 129124 143942 166502 181793 199234 225967 287884 333004 363586 398468 451934 503797 727172 903868 1007594 1272551 1367449 1581769 2015188 2545102 2734898 3163538 3454067 3526579 5090204 5469796 6327076 6908134 7053158 7700897 8907857 9572143 13816268 14106316 15401794 17815714 19144286 24178469 30803588 35631428 38288572 48356938 53906279 67005001 96713876 107812558 122278729 134010002 146317043 169249283 215625116 244557458 268020004 292634086 338498566 377343953 489114916 585268172 676997132 754687906 855951103 1024219301 1509375812 1711902206 2048438602 2323295851 3423804412 4096877204 4646591702 5991657721 7169535107 9293183404 11983315442 13083824003 14339070214 16263070957 23966630884 26167648006 28678140428 32526141914 52335296012 65052283828 91586768021 113841496699 183173536042 227682993398 248592656057 366347072084 455365986796 497185312114 641107376147 994370624228 1282214752294 1740148592399 2564429504588 3480297184798 6960594369596 12181040146793 24362080293586 48724160587172