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154013131552 = 2576713677507
BaseRepresentation
bin1000111101101111100…
…1011110001100100000
3112201112102212201102111
42033123321132030200
510010404330202202
6154430323525104
714061406006150
oct2173371361440
9481472781374
10154013131552
115a3534412a5
1225a22829794
13116a5b1ac07
147650762760
15401609a6d7
hex23dbe5e320

154013131552 has 96 divisors (see below), whose sum is σ = 352005792768. Its totient is φ = 64964249856.

The previous prime is 154013131543. The next prime is 154013131577. The reversal of 154013131552 is 255131310451.

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, 20512183 + ... + 20519689.

It is an arithmetic number, because the mean of its divisors is an integer number (3666727008).

Almost surely, 2154013131552 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 154013131552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176002896384).

154013131552 is an abundant number, since it is smaller than the sum of its proper divisors (197992661216).

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

154013131552 is a wasteful number, since it uses less digits than its factorization.

154013131552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 154013131552 in words is "one hundred fifty-four billion, thirteen million, one hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1367 1876 2144 2734 3752 5468 7504 7507 9569 10936 15008 15014 19138 21872 30028 38276 43744 52549 60056 76552 91589 105098 120112 153104 183178 210196 240224 306208 366356 420392 502969 641123 732712 840784 1005938 1282246 1465424 1681568 2011876 2564492 2930848 3520783 4023752 5128984 7041566 8047504 10257968 10262069 14083132 16095008 20515936 20524138 28166264 41048276 56332528 71834483 82096552 112665056 143668966 164193104 287337932 328386208 574675864 687558623 1149351728 1375117246 2298703456 2750234492 4812910361 5500468984 9625820722 11000937968 19251641444 22001875936 38503282888 77006565776 154013131552