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46232510032056 = 23329109625797397
BaseRepresentation
bin10101000001100010110000…
…10101100110100010111000
320001200210012010002222202110
422200301120111212202320
522024433140032011211
6242154531044132320
712511121461161405
oct1240613025464270
9201623163088673
1046232510032056
11138051086a7a07
1252282060970a0
131ca492634128a
14b5b945cd72ac
155529312b0ea6
hex2a0c585668b8

46232510032056 has 128 divisors (see below), whose sum is σ = 120684303432000. Its totient is φ = 14740412424192.

The previous prime is 46232510032019. The next prime is 46232510032069. The reversal of 46232510032056 is 65023001523264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474632350 + ... + 474729746.

Almost surely, 246232510032056 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 46232510032056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60342151716000).

46232510032056 is an abundant number, since it is smaller than the sum of its proper divisors (74451793399944).

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

46232510032056 is a wasteful number, since it uses less digits than its factorization.

46232510032056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103801 (or 103797 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 46232510032056 in words is "forty-six trillion, two hundred thirty-two billion, five hundred ten million, thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 109 116 174 218 232 327 348 436 654 696 872 1308 2616 3161 6257 6322 9483 12514 12644 18771 18966 25028 25288 37542 37932 50056 75084 75864 97397 150168 181453 194794 292191 362906 389588 544359 584382 682013 725812 779176 1088718 1168764 1364026 1451624 2046039 2177436 2337528 2728052 2824513 4092078 4354872 5456104 5649026 8184156 8473539 10616273 11298052 16368312 16947078 19778377 21232546 22596104 31848819 33894156 39556754 42465092 59335131 63697638 67788312 79113508 84930184 118670262 127395276 158227016 237340524 254790552 307871917 474681048 609413029 615743834 923615751 1218826058 1231487668 1828239087 1847231502 2437652116 2462975336 3656478174 3694463004 4875304232 7312956348 7388926008 14625912696 17672977841 35345955682 53018933523 66426020161 70691911364 106037867046 132852040322 141383822728 199278060483 212075734092 265704080644 398556120966 424151468184 531408161288 797112241932 1594224483864 1926354584669 3852709169338 5779063754007 7705418338676 11558127508014 15410836677352 23116255016028 46232510032056