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1348535688352 = 25376119993827
BaseRepresentation
bin10011100111111010111…
…111011001110010100000
311202220210202210212220021
4103213322333121302200
5134043300114011402
62511301515523224
7166266654136066
oct23477277316240
94686722725807
101348535688352
1147aa02270226
12199431a59514
139a22168c068
14493ab626036
1525129e6ed37
hex139fafd9ca0

1348535688352 has 96 divisors (see below), whose sum is σ = 2785340476800. Its totient is φ = 642040058880.

The previous prime is 1348535688337. The next prime is 1348535688371. The reversal of 1348535688352 is 2538865358431.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14325663 + ... + 14419489.

It is an arithmetic number, because the mean of its divisors is an integer number (29013963300).

Almost surely, 21348535688352 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 1348535688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392670238400).

1348535688352 is an abundant number, since it is smaller than the sum of its proper divisors (1436804788448).

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

1348535688352 is a wasteful number, since it uses less digits than its factorization.

1348535688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94134 (or 94126 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 61.

The spelling of 1348535688352 in words is "one trillion, three hundred forty-eight billion, five hundred thirty-five million, six hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 199 244 296 398 488 592 796 976 1184 1592 1952 2257 3184 4514 6368 7363 9028 12139 14726 18056 24278 29452 36112 48556 58904 72224 93827 97112 117808 187654 194224 235616 375308 388448 449143 750616 898286 1501232 1796572 3002464 3471599 3593144 5723447 6943198 7186288 11446894 13886396 14372576 18671573 22893788 27772792 37343146 45787576 55545584 74686292 91575152 111091168 149372584 183150304 211767539 298745168 423535078 597490336 690848201 847070156 1138965953 1381696402 1694140312 2277931906 2763392804 3388280624 4555863812 5526785608 6776561248 9111727624 11053571216 18223455248 22107142432 36446910496 42141740261 84283480522 168566961044 337133922088 674267844176 1348535688352