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641738989656 = 23353131054673
BaseRepresentation
bin10010101011010101001…
…11111110000001011000
32021100102220010102100000
421111222213332001120
541003240140132111
61210451045413000
764235614260342
oct11255247760130
92240386112300
10641738989656
11228183a25276
12a445910a160
134869208b01b
14230bb7a6292
1511a5e35ac56
hex956a9fe058

641738989656 has 96 divisors (see below), whose sum is σ = 1808175292560. Its totient is φ = 213229366272.

The previous prime is 641738989637. The next prime is 641738989667. The reversal of 641738989656 is 656989837146.

641738989656 is a `hidden beast` number, since 6 + 417 + 3 + 89 + 89 + 6 + 56 = 666.

641738989656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81136 + ... + 1135808.

Almost surely, 2641738989656 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 641738989656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904087646280).

641738989656 is an abundant number, since it is smaller than the sum of its proper divisors (1166436302904).

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

641738989656 is a wasteful number, since it uses less digits than its factorization.

641738989656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055007 (or 1054991 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 641738989656 in words is "six hundred forty-one billion, seven hundred thirty-eight million, nine hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 313 324 486 626 648 939 972 1252 1878 1944 2504 2817 3756 5634 7512 8451 11268 16902 22536 25353 33804 50706 67608 76059 101412 152118 202824 304236 608472 1054673 2109346 3164019 4218692 6328038 8437384 9492057 12656076 18984114 25312152 28476171 37968228 56952342 75936456 85428513 113904684 170857026 227809368 256285539 330112649 341714052 512571078 660225298 683428104 990337947 1025142156 1320450596 1980675894 2050284312 2640901192 2971013841 3961351788 5942027682 7922703576 8913041523 11884055364 17826083046 23768110728 26739124569 35652166092 53478249138 71304332184 80217373707 106956498276 160434747414 213912996552 320869494828 641738989656