Search a number
-
+
60121177056 = 2532331630677
BaseRepresentation
bin110111111111100000…
…000101101111100000
312202011221121020102100
4313333200011233200
51441112010131211
643341433250400
74225600400403
oct677740055740
9182157536370
1060121177056
1123551923196
12b79a563a00
1358918a6aa5
142ca49d7d3a
15186d1dc156
hexdff805be0

60121177056 has 72 divisors (see below), whose sum is σ = 171486393624. Its totient is φ = 19979815680.

The previous prime is 60121177033. The next prime is 60121177091. The reversal of 60121177056 is 65077112106.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×601211770562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 60121177056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220011 + ... + 410666.

It is an arithmetic number, because the mean of its divisors is an integer number (2381755467).

Almost surely, 260121177056 is an apocalyptic number.

It is an amenable number.

60121177056 is an abundant number, since it is smaller than the sum of its proper divisors (111365216568).

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

60121177056 is a wasteful number, since it uses less digits than its factorization.

60121177056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631024 (or 631013 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 60121177056 in words is "sixty billion, one hundred twenty-one million, one hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 331 662 993 1324 1986 2648 2979 3972 5296 5958 7944 10592 11916 15888 23832 31776 47664 95328 630677 1261354 1892031 2522708 3784062 5045416 5676093 7568124 10090832 11352186 15136248 20181664 22704372 30272496 45408744 60544992 90817488 181634976 208754087 417508174 626262261 835016348 1252524522 1670032696 1878786783 2505049044 3340065392 3757573566 5010098088 6680130784 7515147132 10020196176 15030294264 20040392352 30060588528 60121177056