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1681907461 = 131722943359
BaseRepresentation
bin110010000111111…
…1101111100000101
311100012210202021221
41210033331330011
511421032014321
6434521040341
756451656203
oct14417757405
94305722257
101681907461
11793435a73
123ab3260b1
1320a5b3420
1411d536073
159c9cce41
hex643fdf05

1681907461 has 48 divisors (see below), whose sum is σ = 2042409600. Its totient is φ = 1374170112.

The previous prime is 1681907443. The next prime is 1681907467. The reversal of 1681907461 is 1647091861.

It is not a de Polignac number, because 1681907461 - 27 = 1681907333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681907467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4684800 + ... + 4685158.

It is an arithmetic number, because the mean of its divisors is an integer number (42550200).

Almost surely, 21681907461 is an apocalyptic number.

It is an amenable number.

1681907461 is a deficient number, since it is larger than the sum of its proper divisors (360502139).

1681907461 is a wasteful number, since it uses less digits than its factorization.

1681907461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 1681907461 is about 41011.0651044325. The cubic root of 1681907461 is about 1189.2341330551.

The spelling of 1681907461 in words is "one billion, six hundred eighty-one million, nine hundred seven thousand, four hundred sixty-one".

Divisors: 1 13 17 29 43 221 289 359 377 493 559 731 1247 3757 4667 6103 6409 8381 9503 10411 12427 15437 16211 21199 79339 103751 108953 135343 161551 176987 200681 262429 275587 360383 447673 1348763 2300831 3008779 3411577 4461293 4684979 5819749 7610441 39114127 57996809 98935733 129377497 1681907461