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1677102972 = 2231713815953
BaseRepresentation
bin110001111110110…
…1000111101111100
311022212202122202220
41203331220331330
511413314243342
6434230045340
756363066016
oct14375507574
94285678686
101677102972
11790754316
123a97a9850
132095c062c
1411ca451b6
159c37e5ec
hex63f68f7c

1677102972 has 48 divisors (see below), whose sum is σ = 4147127712. Its totient is φ = 525680640.

The previous prime is 1677102967. The next prime is 1677103019. The reversal of 1677102972 is 2792017761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278748 + ... + 284700.

It is an arithmetic number, because the mean of its divisors is an integer number (86398494).

Almost surely, 21677102972 is an apocalyptic number.

1677102972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1677102972 is an abundant number, since it is smaller than the sum of its proper divisors (2470024740).

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

1677102972 is a wasteful number, since it uses less digits than its factorization.

1677102972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7358 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The square root of 1677102972 is about 40952.4476924152. The cubic root of 1677102972 is about 1188.1006756387.

The spelling of 1677102972 in words is "one billion, six hundred seventy-seven million, one hundred two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1381 2762 4143 5524 5953 8286 11906 16572 17859 23477 23812 35718 46954 70431 71436 93908 101201 140862 202402 281724 303603 404804 607206 1214412 8221093 16442186 24663279 32884372 49326558 98653116 139758581 279517162 419275743 559034324 838551486 1677102972