Search a number
-
+
152116227666 = 233133161711329
BaseRepresentation
bin1000110110101011010…
…1010110111001010010
3112112122020112000111000
42031222311112321102
54443013223241131
6153514202402430
713663403413134
oct2155265267122
9475566460430
10152116227666
115956a710337
1225593500416
1311462b2c690
147510863054
153e5479ece6
hex236ad56e52

152116227666 has 128 divisors (see below), whose sum is σ = 376424294400. Its totient is φ = 45217751040.

The previous prime is 152116227649. The next prime is 152116227671. The reversal of 152116227666 is 666722611251.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13421490 + ... + 13432818.

It is an arithmetic number, because the mean of its divisors is an integer number (2940814800).

Almost surely, 2152116227666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152116227666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188212147200).

152116227666 is an abundant number, since it is smaller than the sum of its proper divisors (224308066734).

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

152116227666 is a wasteful number, since it uses less digits than its factorization.

152116227666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11995 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 152116227666 in words is "one hundred fifty-two billion, one hundred sixteen million, two hundred twenty-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 617 702 806 837 1209 1234 1674 1851 2418 3627 3702 5553 7254 8021 10881 11106 11329 16042 16659 19127 21762 22658 24063 33318 33987 38254 48126 57381 67974 72189 101961 114762 144378 147277 172143 203922 216567 248651 294554 305883 344286 351199 433134 441831 497302 516429 611766 702398 745953 883662 1032858 1053597 1325493 1491906 2107194 2237859 2650986 3160791 3976479 4475718 4565587 6321582 6713577 6989993 7952958 9131174 9482373 13427154 13696761 13979986 18964746 20969979 27393522 41090283 41939958 62909937 82180566 90869909 123270849 125819874 181739818 188729811 216689783 246541698 272609727 377459622 433379566 545219454 650069349 817829181 1300138698 1635658362 1950208047 2453487543 2816967179 3900416094 4906975086 5633934358 5850624141 8450901537 11701248282 16901803074 25352704611 50705409222 76058113833 152116227666