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148815520896 = 2737349158633
BaseRepresentation
bin1000101010011000011…
…0001010010010000000
3112020010012122202000010
42022212012022102000
54414233233132041
6152210453024520
713515534025260
oct2124606122200
9466105582003
10148815520896
11581265334a9
1224a12025140
1311058060753
1472ba3417a0
153d0eb0ca16
hex22a618a480

148815520896 has 128 divisors (see below), whose sum is σ = 453058704000. Its totient is φ = 42396622848.

The previous prime is 148815520877. The next prime is 148815520921. The reversal of 148815520896 is 698025518841.

It is a tau number, because it is divible by the number of its divisors (128).

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, 858796 + ... + 1017428.

It is an arithmetic number, because the mean of its divisors is an integer number (3539521125).

Almost surely, 2148815520896 is an apocalyptic number.

148815520896 is a gapful number since it is divisible by the number (16) 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 148815520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226529352000).

148815520896 is an abundant number, since it is smaller than the sum of its proper divisors (304243183104).

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

148815520896 is a wasteful number, since it uses less digits than its factorization.

148815520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159006 (or 158994 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 57.

It can be divided in two parts, 1488155 and 20896, that added together give a palindrome (1509051).

The spelling of 148815520896 in words is "one hundred forty-eight billion, eight hundred fifteen million, five hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 349 384 448 672 698 896 1047 1344 1396 2094 2443 2688 2792 4188 4886 5584 7329 8376 9772 11168 14658 16752 19544 22336 29316 33504 39088 44672 58632 67008 78176 117264 134016 156352 158633 234528 312704 317266 469056 475899 634532 938112 951798 1110431 1269064 1903596 2220862 2538128 3331293 3807192 4441724 5076256 6662586 7614384 8883448 10152512 13325172 15228768 17766896 20305024 26650344 30457536 35533792 53300688 55362917 60915072 71067584 106601376 110725834 142135168 166088751 213202752 221451668 332177502 387540419 426405504 442903336 664355004 775080838 885806672 1162621257 1328710008 1550161676 1771613344 2325242514 2657420016 3100323352 3543226688 4650485028 5314840032 6200646704 7086453376 9300970056 10629680064 12401293408 18601940112 21259360128 24802586816 37203880224 49605173632 74407760448 148815520896