Search a number
-
+
1677897030048 = 25379281787337
BaseRepresentation
bin11000011010101010011…
…101001101100110100000
312221101221112021121112020
4120122222131031212200
5204442313114430143
63322452032301440
7232136565301641
oct30325235154640
95841845247466
101677897030048
11597657149078
122312303a1880
13c22c0470225
145b2d40456c8
152d9a5150883
hex186aa74d9a0

1677897030048 has 96 divisors (see below), whose sum is σ = 4476111010560. Its totient is φ = 550253383680.

The previous prime is 1677897030041. The next prime is 1677897030107. The reversal of 1677897030048 is 8400307987761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1677897029973 and 1677897030000.

It is not an unprimeable number, because it can be changed into a prime (1677897030041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737436 + ... + 2524772.

It is an arithmetic number, because the mean of its divisors is an integer number (46626156360).

Almost surely, 21677897030048 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 1677897030048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238055505280).

1677897030048 is an abundant number, since it is smaller than the sum of its proper divisors (2798213980512).

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

1677897030048 is a wasteful number, since it uses less digits than its factorization.

1677897030048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787710 (or 787702 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 1677897030048 in words is "one trillion, six hundred seventy-seven billion, eight hundred ninety-seven million, thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 281 316 474 562 632 843 948 1124 1264 1686 1896 2248 2528 3372 3792 4496 6744 7584 8992 13488 22199 26976 44398 66597 88796 133194 177592 266388 355184 532776 710368 787337 1065552 1574674 2131104 2362011 3149348 4724022 6298696 9448044 12597392 18896088 25194784 37792176 62199623 75584352 124399246 186598869 221241697 248798492 373197738 442483394 497596984 663725091 746395476 884966788 995193968 1327450182 1492790952 1769933576 1990387936 2654900364 2985581904 3539867152 5309800728 5971163808 7079734304 10619601456 17478094063 21239202912 34956188126 52434282189 69912376252 104868564378 139824752504 209737128756 279649505008 419474257512 559299010016 838948515024 1677897030048