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1632240421552 = 2413197110356477
BaseRepresentation
bin10111110000001001000…
…111000100101010110000
312210001002122022120221101
4113300021013010222300
5203220312021442202
63245501344534144
7225632303444116
oct27601107045260
95701078276841
101632240421552
1157a258190384
1222440a021354
13babc5503160
14590024d5ab6
152c6d1c61887
hex17c091c4ab0

1632240421552 has 160 divisors (see below), whose sum is σ = 3670835051520. Its totient is φ = 696796369920.

The previous prime is 1632240421541. The next prime is 1632240421583. The reversal of 1632240421552 is 2551240422361.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28872738 + ... + 28929214.

It is an arithmetic number, because the mean of its divisors is an integer number (22942719072).

Almost surely, 21632240421552 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 1632240421552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835417525760).

1632240421552 is an abundant number, since it is smaller than the sum of its proper divisors (2038594629968).

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

1632240421552 is a wasteful number, since it uses less digits than its factorization.

1632240421552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56691 (or 56685 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 1632240421552 in words is "one trillion, six hundred thirty-two billion, two hundred forty million, four hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 71 76 103 104 142 152 206 208 247 284 304 412 494 568 824 923 988 1136 1339 1349 1648 1846 1957 1976 2678 2698 3692 3914 3952 5356 5396 7313 7384 7828 10712 10792 14626 14768 15656 17537 21424 21584 25441 29252 31312 35074 50882 56477 58504 70148 95069 101764 112954 117008 138947 140296 190138 203528 225908 277894 280592 380276 407056 451816 555788 734201 760552 903632 1073063 1111576 1468402 1521104 1806311 2146126 2223152 2936804 3612622 4009867 4292252 5817131 5873608 7225244 8019734 8584504 11634262 11747216 13949819 14450488 16039468 17169008 23268524 27899638 28900976 32078936 46537048 52128271 55799276 64157872 75622703 76187473 93074096 104256542 110525489 111598552 151245406 152374946 208513084 221050978 223197104 302490812 304749892 413016301 417026168 442101956 604981624 609499784 826032602 834052336 884203912 990437149 1209963248 1218999568 1436831357 1652065204 1768407824 1980874298 2873662714 3304130408 3961748596 5369211913 5747325428 6608260816 7847309719 7923497192 10738423826 11494650856 15694619438 15846994384 21476847652 22989301712 31389238876 42953695304 62778477752 85907390608 102015026347 125556955504 204030052694 408060105388 816120210776 1632240421552