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148952233728 = 2832129150077
BaseRepresentation
bin1000101010111000111…
…1101011011100000000
3112020110201220110202100
42022232033223130000
54420023232434403
6152232215150400
713522114045044
oct2125617533400
9466421813670
10148952233728
115819671a911
1224a4b975400
131107a48980c
1472d056c024
153d1bb152a3
hex22ae3eb700

148952233728 has 108 divisors (see below), whose sum is σ = 429807254968. Its totient is φ = 49611294720.

The previous prime is 148952233663. The next prime is 148952233763. The reversal of 148952233728 is 827332259841.

148952233728 is a `hidden beast` number, since 1 + 4 + 89 + 522 + 3 + 37 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949426 + ... + 2999502.

Almost surely, 2148952233728 is an apocalyptic number.

148952233728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148952233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214903627484).

148952233728 is an abundant number, since it is smaller than the sum of its proper divisors (280855021240).

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

148952233728 is a wasteful number, since it uses less digits than its factorization.

148952233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51390 (or 51373 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 148952233728 in words is "one hundred forty-eight billion, nine hundred fifty-two million, two hundred thirty-three thousand, seven hundred twenty-eight".

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 1291 2304 2582 3873 5164 7746 10328 11619 15492 20656 23238 30984 41312 46476 50077 61968 82624 92952 100154 123936 150231 165248 185904 200308 247872 300462 330496 371808 400616 450693 495744 600924 743616 801232 901386 991488 1201848 1487232 1602464 1802772 2403696 2974464 3204928 3605544 4807392 6409856 7211088 9614784 12819712 14422176 19229568 28844352 38459136 57688704 64649407 115377408 129298814 193948221 258597628 387896442 517195256 581844663 775792884 1034390512 1163689326 1551585768 2068781024 2327378652 3103171536 4137562048 4654757304 6206343072 8275124096 9309514608 12412686144 16550248192 18619029216 24825372288 37238058432 49650744576 74476116864 148952233728