Search a number
-
+
542980922232 = 233723827169919
BaseRepresentation
bin1111110011011000010…
…11110101101101111000
31220220112021101210022010
413321230023311231320
532344011104002412
61053235245325520
754141400454460
oct7715413655570
91826467353263
10542980922232
1119a305636531
12892972668a0
133c283965138
141c3cd66cba0
15e1ce19133c
hex7e6c2f5b78

542980922232 has 128 divisors (see below), whose sum is σ = 1620792115200. Its totient is φ = 148211995008.

The previous prime is 542980922177. The next prime is 542980922273. The reversal of 542980922232 is 232229089245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3110569 + ... + 3280487.

It is an arithmetic number, because the mean of its divisors is an integer number (12662438400).

Almost surely, 2542980922232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542980922232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810396057600).

542980922232 is an abundant number, since it is smaller than the sum of its proper divisors (1077811192968).

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

542980922232 is a wasteful number, since it uses less digits than its factorization.

542980922232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170785 (or 170781 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 542980922232 in words is "five hundred forty-two billion, nine hundred eighty million, nine hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 827 966 1288 1654 1932 2481 3308 3864 4962 5789 6616 9924 11578 17367 19021 19848 23156 34734 38042 46312 57063 69468 76084 114126 133147 138936 152168 169919 228252 266294 339838 399441 456504 509757 532588 679676 798882 1019514 1065176 1189433 1359352 1597764 2039028 2378866 3195528 3568299 3908137 4078056 4757732 7136598 7816274 9515464 11724411 14273196 15632548 23448822 27356959 28546392 31265096 46897644 54713918 82070877 93795288 109427836 140523013 164141754 218855672 281046026 328283508 421569039 562092052 656567016 843138078 983661091 1124184104 1686276156 1967322182 2950983273 3232029299 3372552312 3934644364 5901966546 6464058598 7869288728 9696087897 11803933092 12928117196 19392175794 22624205093 23607866184 25856234392 38784351588 45248410186 67872615279 77568703176 90496820372 135745230558 180993640744 271490461116 542980922232