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7066177000038 = 2321373718757557
BaseRepresentation
bin110011011010011100011…
…1110000101001001100110
3221000112001000122220012200
41212310320332011021212
51411233012303000123
623010053520155330
71326341311325322
oct146647076051146
927015030586180
107066177000038
112284826779a12
12961580468b46
133c3450a14b10
141a600d210982
15c3c1a39e143
hex66d38f85266

7066177000038 has 96 divisors (see below), whose sum is σ = 16716221829216. Its totient is φ = 2144089004544.

The previous prime is 7066176999997. The next prime is 7066177000067. The reversal of 7066177000038 is 8300007716607.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7066176999957 and 7066177000002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122739556 + ... + 122797112.

It is an arithmetic number, because the mean of its divisors is an integer number (174127310721).

Almost surely, 27066177000038 is an apocalyptic number.

7066177000038 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7066177000038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358110914608).

7066177000038 is an abundant number, since it is smaller than the sum of its proper divisors (9650044829178).

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

7066177000038 is a wasteful number, since it uses less digits than its factorization.

7066177000038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64838 (or 64835 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 7066177000038 in words is "seven trillion, sixty-six billion, one hundred seventy-seven million, thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 657 949 1314 1898 2847 5694 7187 8541 14374 17082 21561 43122 57557 64683 93431 115114 129366 172671 186862 280293 345342 518013 524651 560586 748241 840879 1036026 1049302 1496482 1573953 1681758 2244723 3147906 4201661 4489446 4721859 6734169 6820463 8403322 9443718 12604983 13468338 13640926 20461389 25209966 37814949 40922778 54621593 61384167 75629898 109243186 122768334 163864779 327729558 413662159 491594337 827324318 983188674 1240986477 2481972954 3722959431 5377608067 7445918862 10755216134 16132824201 30197337607 32265648402 48398472603 60394675214 90592012821 96796945206 181184025642 271776038463 392565388891 543552076926 785130777782 1177696166673 2355392333346 3533088500019 7066177000038