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61472802248 = 231121326132
BaseRepresentation
bin111001010000000100…
…001000010111001000
312212200010220220121122
4321100010020113020
52001344014132443
644123515254412
74304232124544
oct712004102710
9185603826548
1061472802248
1124085881200
12bab714a408
135a48918b00
142d92316a24
1518ebbc8968
hexe501085c8

61472802248 has 108 divisors (see below), whose sum is σ = 137411787555. Its totient is φ = 25750707840.

The previous prime is 61472802169. The next prime is 61472802257. The reversal of 61472802248 is 84220827416.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6586620964 + 54886181284 = 81158^2 + 234278^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=175318.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61472802199 and 61472802208.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100281590 + ... + 100282202.

Almost surely, 261472802248 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 61472802248

61472802248 is an abundant number, since it is smaller than the sum of its proper divisors (75938985307).

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

61472802248 is a wasteful number, since it uses less digits than its factorization.

61472802248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 61472802248 in words is "sixty-one billion, four hundred seventy-two million, eight hundred two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 613 676 968 1144 1226 1352 1573 1859 2452 3146 3718 4904 6292 6743 7436 7969 12584 13486 14872 15938 20449 26972 31876 40898 53944 63752 74173 81796 87659 103597 148346 163592 175318 207194 296692 350636 375769 414388 593384 701272 751538 828776 964249 1139567 1503076 1928498 2279134 3006152 3856996 4133459 4558268 4884997 7713992 8266918 9116536 9769994 12535237 16533836 19539988 25070474 33067672 39079976 45468049 50140948 53734967 63504961 90936098 100281896 107469934 127009922 181872196 214939868 254019844 363744392 429879736 508039688 591084637 698554571 1182169274 1397109142 2364338548 2794218284 4728677096 5588436568 7684100281 15368200562 30736401124 61472802248