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54166976644 = 221127121492
BaseRepresentation
bin110010011100100110…
…100111100010000100
312011210222201111222011
4302130212213202010
51341413221223034
640514534144004
73625210463464
oct623446474204
9164728644864
1054166976644
1120a76934300
12a5b84b2004
135153155591
14289bd0bba4
1516205ee864
hexc9c9a7884

54166976644 has 81 divisors (see below), whose sum is σ = 106395297253. Its totient is φ = 24111656800.

The previous prime is 54166976641. The next prime is 54166976653. The reversal of 54166976644 is 44667966145.

The square root of 54166976644 is 232738.

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., 6346034244 + 47820942400 = 79662^2 + 218680^2 .

It is a super-2 number, since 2×541669766442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54166976641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 363536682 + ... + 363536830.

Almost surely, 254166976644 is an apocalyptic number.

54166976644 is the 232738-th square number.

It is an amenable number.

54166976644 is a deficient number, since it is larger than the sum of its proper divisors (52228320609).

54166976644 is a wasteful number, since it uses less digits than its factorization.

54166976644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 54166976644 in words is "fifty-four billion, one hundred sixty-six million, nine hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 44 71 121 142 149 242 284 298 484 596 781 1562 1639 3124 3278 5041 6556 8591 10082 10579 17182 18029 20164 21158 22201 34364 36058 42316 44402 55451 72116 88804 110902 116369 221804 232738 244211 465476 488422 609961 751109 976844 1219922 1280059 1502218 1576271 2439844 2560118 2686321 3004436 3152542 5120236 5372642 6305084 8262199 10745284 16524398 17338981 33048796 34677962 69355924 90884189 111915241 181768378 190728791 223830482 363536756 381457582 447660964 762915164 1231067651 2462135302 4924270604 13541744161 27083488322 54166976644