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150855336801 = 321322324332
BaseRepresentation
bin1000110001111110101…
…1011100001101100001
3112102101100221010101100
42030133223130031201
54432422431234201
6153145121225013
713620223130361
oct2143753341541
9472340833340
10150855336801
1158a829a5374
12252a1192169
13112c1838900
1474312029a1
153dcdc37886
hex231fadc361

150855336801 has 81 divisors (see below), whose sum is σ = 247229055801. Its totient is φ = 88592714496.

The previous prime is 150855336791. The next prime is 150855336823. The reversal of 150855336801 is 108633558051.

The square root of 150855336801 is 388401.

It is a perfect power (a square), and thus also a powerful number.

150855336801 is a `hidden beast` number, since 1 + 50 + 8 + 5 + 533 + 68 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82828264401 + 68027072400 = 287799^2 + 260820^2 .

It is a de Polignac number, because none of the positive numbers 2k-150855336801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150855336871) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 348395481 + ... + 348395913.

Almost surely, 2150855336801 is an apocalyptic number.

150855336801 is the 388401-st square number.

150855336801 is the 194201-st centered octagonal number.

It is an amenable number.

150855336801 is a deficient number, since it is larger than the sum of its proper divisors (96373719000).

150855336801 is an equidigital number, since it uses as much as digits as its factorization.

150855336801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 150855336801 in words is "one hundred fifty billion, eight hundred fifty-five million, three hundred thirty-six thousand, eight hundred one".

Divisors: 1 3 9 13 23 39 69 117 169 207 299 433 507 529 897 1299 1521 1587 2691 3887 3897 4761 5629 6877 9959 11661 16887 20631 29877 34983 50661 61893 73177 89401 89631 129467 187489 219531 229057 268203 388401 562467 658593 687171 804609 1165203 1683071 1687401 2061513 2437357 2977741 4312247 5049213 7312071 8933223 12936741 15147639 21936213 26799669 31685641 38710633 38810223 56059211 95056923 99181681 116131899 168177633 285170769 297545043 348395697 504532899 728769743 892635129 1289361853 2186309229 3868085559 6558927687 11604256677 16761704089 50285112267 150855336801