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125815210021480 = 2357977621607843
BaseRepresentation
bin11100100110110110100010…
…111001101001001001101000
3121111110211001022101001100011
4130212312202321221021220
5112442324022231141410
61123330413133221304
735333564122614310
oct3446664271511150
9544424038331304
10125815210021480
11370a7a27074751
121213b9b7331834
13552842866c1c5
14230d6bac32440
15e82b2061718a
hex726da2e69268

125815210021480 has 128 divisors (see below), whose sum is σ = 326903560462080. Its totient is φ = 42686263664640.

The previous prime is 125815210021439. The next prime is 125815210021489. The reversal of 125815210021480 is 84120012518521.

It is a super-2 number, since 2×1258152100214802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (125815210021489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206682439 + ... + 207290281.

It is an arithmetic number, because the mean of its divisors is an integer number (2553934066110).

Almost surely, 2125815210021480 is an apocalyptic number.

125815210021480 is a gapful number since it is divisible by the number (10) 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 125815210021480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163451780231040).

125815210021480 is an abundant number, since it is smaller than the sum of its proper divisors (201088350440600).

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

125815210021480 is a wasteful number, since it uses less digits than its factorization.

125815210021480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615579 (or 615575 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 40.

The spelling of 125815210021480 in words is "one hundred twenty-five trillion, eight hundred fifteen billion, two hundred ten million, twenty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1940 2716 3395 3880 5432 6790 7621 13580 15242 27160 30484 38105 53347 60968 76210 106694 152420 213388 266735 304840 426776 533470 607843 739237 1066940 1215686 1478474 2133880 2431372 2956948 3039215 3696185 4254901 4862744 5174659 5913896 6078430 7392370 8509802 10349318 12156860 14784740 17019604 20698636 21274505 24313720 25873295 29569480 34039208 41397272 42549010 51746590 58960771 85098020 103493180 117921542 170196040 206986360 235843084 294803855 412725397 471686168 589607710 825450794 1179215420 1650901588 2063626985 2358430840 3301803176 4127253970 4632371503 8254507940 9264743006 16509015880 18529486012 23161857515 32426600521 37058972024 46323715030 64853201042 92647430060 129706402084 162133002605 185294860120 259412804168 324266005210 449340035791 648532010420 898680071582 1297064020840 1797360143164 2246700178955 3145380250537 3594720286328 4493400357910 6290760501074 8986800715820 12581521002148 15726901252685 17973601431640 25163042004296 31453802505370 62907605010740 125815210021480