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644150664 = 233343223311
BaseRepresentation
bin100110011001001…
…111010110001000
31122220002020121000
4212121033112020
52304400310124
6143530215000
721651122163
oct4631172610
91586066530
10644150664
11300673a23
1215b884460
13a35b6751
146179aada
153b83e6c9
hex2664f588

644150664 has 128 divisors (see below), whose sum is σ = 1845043200. Its totient is φ = 208111680.

The previous prime is 644150641. The next prime is 644150677. The reversal of 644150664 is 466051446.

644150664 is a `hidden beast` number, since 644 + 1 + 5 + 0 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2071069 + ... + 2071379.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2644150664 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 644150664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922521600).

644150664 is an abundant number, since it is smaller than the sum of its proper divisors (1200892536).

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

644150664 is a wasteful number, since it uses less digits than its factorization.

644150664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 644150664 is about 25380.1234039553. The cubic root of 644150664 is about 863.6328494053.

The spelling of 644150664 in words is "six hundred forty-four million, one hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 223 258 311 344 387 446 516 622 669 774 892 933 1032 1161 1244 1338 1548 1784 1866 2007 2322 2488 2676 2799 3096 3732 4014 4644 5352 5598 6021 7464 8028 8397 9288 9589 11196 12042 13373 16056 16794 19178 22392 24084 26746 28767 33588 38356 40119 48168 53492 57534 67176 69353 76712 80238 86301 106984 115068 120357 138706 160476 172602 208059 230136 240714 258903 277412 320952 345204 361071 416118 481428 517806 554824 624177 690408 722142 832236 962856 1035612 1248354 1444284 1664472 1872531 2071224 2496708 2888568 2982179 3745062 4993416 5964358 7490124 8946537 11928716 14980248 17893074 23857432 26839611 35786148 53679222 71572296 80518833 107358444 161037666 214716888 322075332 644150664