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61516896676 = 221926121072
BaseRepresentation
bin111001010010101100…
…010101100110100100
312212210012220010210121
4321102230111212210
52001441311143201
644132132331324
74305305664664
oct712254254644
9185705803717
1061516896676
11240a8758a84
12bb09a73b44
135a54ab71a1
142d981141a4
1519009d89a1
hexe52b159a4

61516896676 has 81 divisors (see below), whose sum is σ = 116601589377. Its totient is φ = 28394016480.

The previous prime is 61516896631. The next prime is 61516896689. The reversal of 61516896676 is 67669861516.

The square root of 61516896676 is 248026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2000415076 + 59516481600 = 44726^2 + 243960^2 .

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

It is a Duffinian number.

Its product of digits (19595520) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 574924215 + ... + 574924321.

Almost surely, 261516896676 is an apocalyptic number.

61516896676 is the 248026-th square number.

It is an amenable number.

61516896676 is a deficient number, since it is larger than the sum of its proper divisors (55084692701).

61516896676 is a wasteful number, since it uses less digits than its factorization.

61516896676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 61.

The spelling of 61516896676 in words is "sixty-one billion, five hundred sixteen million, eight hundred ninety-six thousand, six hundred seventy-six".

Divisors: 1 2 4 19 38 61 76 107 122 214 244 361 428 722 1159 1444 2033 2318 3721 4066 4636 6527 7442 8132 11449 13054 14884 22021 22898 26108 38627 44042 45796 70699 77254 88084 124013 141398 154508 217531 248026 282796 398147 435062 496052 698389 796294 870124 1343281 1396778 1592588 2356247 2686562 2793556 4133089 4712494 5373124 7564793 8266178 9424988 13269391 15129586 16532356 26538782 30259172 42601729 53077564 85203458 143731067 170406916 252118429 287462134 504236858 574924268 809432851 1008473716 1618865702 3237731404 15379224169 30758448338 61516896676