Search a number
-
+
154055752070448 = 2431923535913117929
BaseRepresentation
bin100011000001110011100110…
…011000001011010100110000
3202012110120211020112010020210
4203001303212120023110300
5130143022140012223243
61303352122510304120
744310106102431114
oct4301634630132460
9665416736463223
10154055752070448
11450a574a900608
12153410537b8040
1367c651a003c37
142a084a3d9b744
1512c2524c41933
hex8c1ce660b530

154055752070448 has 640 divisors, whose sum is σ = 456417358848000. Its totient is φ = 44537076080640.

The previous prime is 154055752070293. The next prime is 154055752070453. The reversal of 154055752070448 is 844070257550451.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8592536748 + ... + 8592554676.

It is an arithmetic number, because the mean of its divisors is an integer number (713152123200).

Almost surely, 2154055752070448 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 154055752070448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228208679424000).

154055752070448 is an abundant number, since it is smaller than the sum of its proper divisors (302361606777552).

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

154055752070448 is a wasteful number, since it uses less digits than its factorization.

154055752070448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18225 (or 18219 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 57.

The spelling of 154055752070448 in words is "one hundred fifty-four trillion, fifty-five billion, seven hundred fifty-two million, seventy thousand, four hundred forty-eight".