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148505412496 = 2472137632
BaseRepresentation
bin1000101001001110011…
…1001100001110010000
3112012022121010121020211
42022103213030032100
54413114341144441
6152120014213504
713505050115200
oct2122347141620
9465277117224
10148505412496
1157a87485471
12249461b4294
1311008a3395c
14728b09a400
153ce27a3a81
hex22939cc390

148505412496 has 45 divisors (see below), whose sum is σ = 334729759611. Its totient is φ = 63640552416.

The previous prime is 148505412491. The next prime is 148505412509. The reversal of 148505412496 is 694214505841.

The square root of 148505412496 is 385364.

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

It is a super-2 number, since 2×1485054124962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148505412491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10783311 + ... + 10797073.

Almost surely, 2148505412496 is an apocalyptic number.

148505412496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

148505412496 is the 385364-th square number.

It is an amenable number.

148505412496 is an abundant number, since it is smaller than the sum of its proper divisors (186224347115).

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

148505412496 is an frugal number, since it uses more digits than its factorization.

148505412496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27548 (or 13772 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 148505412496 by its sum of digits (49), we get a square (7276765212304 = 26975482).

148505412496 divided by its sum of digits (49) gives a square (3030722704 = 550522).

It can be divided in two parts, 148505 and 412496, that added together give a square (561001 = 7492).

The spelling of 148505412496 in words is "one hundred forty-eight billion, five hundred five million, four hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 13763 27526 55052 96341 110104 192682 220208 385364 674387 770728 1348774 1541456 2697548 5395096 10790192 189420169 378840338 757680676 1325941183 1515361352 2651882366 3030722704 5303764732 9281588281 10607529464 18563176562 21215058928 37126353124 74252706248 148505412496