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123728140660 = 225435315117977
BaseRepresentation
bin111001100111011000…
…1011001100101110100
3102211100211022210001011
41303032301121211310
54011343401000120
6132501231242004
711640045562105
oct1631661314564
9384324283034
10123728140660
1148522345403
121bb90379304
13b88a6b1867
145dba5303ac
153342429c5a
hex1ccec59974

123728140660 has 96 divisors (see below), whose sum is σ = 272697207552. Its totient is φ = 47111500800.

The previous prime is 123728140651. The next prime is 123728140663. The reversal of 123728140660 is 66041827321.

It is a super-3 number, since 3×1237281406603 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123728140663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6873592 + ... + 6891568.

It is an arithmetic number, because the mean of its divisors is an integer number (2840595912).

Almost surely, 2123728140660 is an apocalyptic number.

123728140660 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 123728140660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136348603776).

123728140660 is an abundant number, since it is smaller than the sum of its proper divisors (148969066892).

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

123728140660 is a wasteful number, since it uses less digits than its factorization.

123728140660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18233 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

Adding to 123728140660 its reverse (66041827321), we get a palindrome (189769967981).

The spelling of 123728140660 in words is "one hundred twenty-three billion, seven hundred twenty-eight million, one hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 43 53 86 106 151 172 212 215 265 302 430 530 604 755 860 1060 1510 2279 3020 4558 6493 8003 9116 11395 12986 16006 17977 22790 25972 32012 32465 35954 40015 45580 64930 71908 80030 89885 129860 160060 179770 344129 359540 688258 773011 952781 1376516 1546022 1720645 1905562 2714527 3092044 3441290 3811124 3865055 4763905 5429054 6882580 7730110 9527810 10858108 13572635 15460220 19055620 27145270 40969583 54290540 81939166 116724661 143869931 163878332 204847915 233449322 287739862 409695830 466898644 575479724 583623305 719349655 819391660 1167246610 1438699310 2334493220 2877398620 6186407033 12372814066 24745628132 30932035165 61864070330 123728140660