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641657970 = 233522310657
BaseRepresentation
bin100110001111101…
…110110001110010
31122201101121021000
4212033232301302
52303231023340
6143400542430
721621000642
oct4617566162
91581347230
10641657970
112aa221148
1215aa81a16
13a2c22c95
146130c522
153b4ead30
hex263eec72

641657970 has 64 divisors (see below), whose sum is σ = 1718922240. Its totient is φ = 170325504.

The previous prime is 641657953. The next prime is 641657983. The reversal of 641657970 is 79756146.

It is a happy number.

641657970 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 579 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54882 + ... + 65538.

It is an arithmetic number, because the mean of its divisors is an integer number (26858160).

Almost surely, 2641657970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641657970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859461120).

641657970 is an abundant number, since it is smaller than the sum of its proper divisors (1077264270).

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

641657970 is a wasteful number, since it uses less digits than its factorization.

641657970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 641657970 is about 25330.9685957723. The cubic root of 641657970 is about 862.5173985148.

The spelling of 641657970 in words is "six hundred forty-one million, six hundred fifty-seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 223 270 446 669 1115 1338 2007 2230 3345 4014 6021 6690 10035 10657 12042 20070 21314 30105 31971 53285 60210 63942 95913 106570 159855 191826 287739 319710 479565 575478 959130 1438695 2376511 2877390 4753022 7129533 11882555 14259066 21388599 23765110 35647665 42777198 64165797 71295330 106942995 128331594 213885990 320828985 641657970