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152805860946 = 232192267197089
BaseRepresentation
bin1000111001001111110…
…0000110011001010010
3112121102022012000111100
42032103330012121102
510000421300022241
6154110435525230
714016446246604
oct2162374063122
9477368160440
10152805860946
1159893a19aa2
1225746459816
131154297c2cb
14757829d174
153e950c59b6
hex2393f06652

152805860946 has 48 divisors (see below), whose sum is σ = 348660093600. Its totient is φ = 48232952064.

The previous prime is 152805860917. The next prime is 152805860981. The reversal of 152805860946 is 649068508251.

152805860946 is a `hidden beast` number, since 1 + 5 + 28 + 0 + 5 + 8 + 609 + 4 + 6 = 666.

It is a super-2 number, since 2×1528058609462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152805860892 and 152805860901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676770 + ... + 873858.

It is an arithmetic number, because the mean of its divisors is an integer number (7263751950).

Almost surely, 2152805860946 is an apocalyptic number.

152805860946 is an abundant number, since it is smaller than the sum of its proper divisors (195854232654).

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

152805860946 is a wasteful number, since it uses less digits than its factorization.

152805860946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199383 (or 199380 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 152805860946 in words is "one hundred fifty-two billion, eight hundred five million, eight hundred sixty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2267 4534 6801 13602 20403 40806 43073 86146 129219 197089 258438 387657 394178 591267 775314 1182534 1773801 3547602 3744691 7489382 11234073 22468146 33702219 67404438 446800763 893601526 1340402289 2680804578 4021206867 8042413734 8489214497 16978428994 25467643491 50935286982 76402930473 152805860946