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151656006660 = 223523112397859
BaseRepresentation
bin1000110100111101100…
…1110000010000000100
3112111110011112100221120
42031033121300100010
54441042414203120
6153400402313540
713646114534004
oct2151731602004
9474404470846
10151656006660
11593539534a4
12254853588b0
13113bb694662
1474a96a4004
153e29193140
hex234f670404

151656006660 has 96 divisors (see below), whose sum is σ = 443498388480. Its totient is φ = 38648429952.

The previous prime is 151656006583. The next prime is 151656006661. The reversal of 151656006660 is 66600656151.

It is not an unprimeable number, because it can be changed into a prime (151656006661) 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, 1500811 + ... + 1598669.

It is an arithmetic number, because the mean of its divisors is an integer number (4619774880).

Almost surely, 2151656006660 is an apocalyptic number.

151656006660 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 151656006660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221749194240).

151656006660 is an abundant number, since it is smaller than the sum of its proper divisors (291842381820).

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

151656006660 is a wasteful number, since it uses less digits than its factorization.

151656006660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99017 (or 99015 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 151656006660 in words is "one hundred fifty-one billion, six hundred fifty-six million, six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1123 1380 2246 3369 4492 5615 6738 11230 13476 16845 22460 25829 33690 51658 67380 77487 97859 103316 129145 154974 195718 258290 293577 309948 387435 391436 489295 516580 587154 774870 978590 1174308 1467885 1549740 1957180 2250757 2935770 4501514 5871540 6752271 9003028 11253785 13504542 22507570 27009084 33761355 45015140 67522710 109895657 135045420 219791314 329686971 439582628 549478285 659373942 1098956570 1318747884 1648434855 2197913140 2527600111 3296869710 5055200222 6593739420 7582800333 10110400444 12638000555 15165600666 25276001110 30331201332 37914001665 50552002220 75828003330 151656006660