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152921666704 = 2459216572
BaseRepresentation
bin1000111001101011010…
…1110111010010010000
3112121201101002120010111
42032122311313102100
510001140421313304
6154130134011104
714022353501662
oct2163265672220
9477641076114
10152921666704
1159943326634
12257791a6a94
1311560968121
147589806532
153ea034d704
hex239ad77490

152921666704 has 45 divisors (see below), whose sum is σ = 301574636697. Its totient is φ = 75119524992.

The previous prime is 152921666671. The next prime is 152921666707. The reversal of 152921666704 is 407666129251.

The square root of 152921666704 is 391052.

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

152921666704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48690835600 + 104230831104 = 220660^2 + 322848^2 .

It is a super-2 number, since 2×1529216667042 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152921666707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92287444 + ... + 92289100.

Almost surely, 2152921666704 is an apocalyptic number.

152921666704 is the 391052-nd square number.

It is an amenable number.

152921666704 is a deficient number, since it is larger than the sum of its proper divisors (148652969993).

152921666704 is an frugal number, since it uses more digits than its factorization.

152921666704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 152921666704 by its sum of digits (49), we get a square (7493161668496 = 27373642).

The spelling of 152921666704 in words is "one hundred fifty-two billion, nine hundred twenty-one million, six hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 59 118 236 472 944 1657 3314 3481 6628 6962 13256 13924 26512 27848 55696 97763 195526 391052 782104 1564208 2745649 5491298 5768017 10982596 11536034 21965192 23072068 43930384 46144136 92288272 161993291 323986582 647973164 1295946328 2591892656 9557604169 19115208338 38230416676 76460833352 152921666704