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148897200384 = 283280392
BaseRepresentation
bin1000101010101011110…
…1101111100100000000
3112020022220100111012100
42022222331233210000
54414420140403014
6152222531430400
713520545215012
oct2125275574400
9466286314170
10148897200384
1158168651509
1224a35455400
131106bc5b3ca
1472c71241b2
153d16d94009
hex22aaf6f900

148897200384 has 81 divisors (see below), whose sum is σ = 429360745723. Its totient is φ = 49626226176.

The previous prime is 148897200343. The next prime is 148897200461. The reversal of 148897200384 is 483002798841.

It is a happy number.

The square root of 148897200384 is 385872.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 148897200384.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18517837 + ... + 18525875.

Almost surely, 2148897200384 is an apocalyptic number.

148897200384 is the 385872-nd square number.

It is an amenable number.

148897200384 is an abundant number, since it is smaller than the sum of its proper divisors (280463545339).

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

148897200384 is an frugal number, since it uses more digits than its factorization.

148897200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16100 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

It can be divided in two parts, 148897 and 200384, that added together give a square (349281 = 5912).

The spelling of 148897200384 in words is "one hundred forty-eight billion, eight hundred ninety-seven million, two hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 8039 16078 24117 32156 48234 64312 72351 96468 128624 144702 192936 257248 289404 385872 514496 578808 771744 1028992 1157616 1543488 2057984 2315232 3086976 4630464 6173952 9260928 18521856 64625521 129251042 193876563 258502084 387753126 517004168 581629689 775506252 1034008336 1163259378 1551012504 2068016672 2326518756 3102025008 4136033344 4653037512 6204050016 8272066688 9306075024 12408100032 16544133376 18612150048 24816200064 37224300096 49632400128 74448600192 148897200384