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320845951764 = 22321334786311
BaseRepresentation
bin1001010101100111110…
…10001011001100010100
31010200011022021002122200
410222303322023030110
520224043030424024
6403221122124500
732115601410042
oct4526372131424
91120138232580
10320845951764
111140851a2408
12522227b0730
1324342858000
1411759915392
15852c82c2c9
hex4ab3e8b314

320845951764 has 144 divisors (see below), whose sum is σ = 897285742080. Its totient is φ = 96620247360.

The previous prime is 320845951753. The next prime is 320845951771. The reversal of 320845951764 is 467159548023.

It is a happy number.

320845951764 is a `hidden beast` number, since 3 + 20 + 8 + 45 + 9 + 517 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 320845951764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674169 + ... + 3760479.

It is a 1-persistent number, because it is pandigital, but 2⋅320845951764 = 641691903528 is not.

Almost surely, 2320845951764 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 320845951764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448642871040).

320845951764 is an abundant number, since it is smaller than the sum of its proper divisors (576439790316).

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

320845951764 is a wasteful number, since it uses less digits than its factorization.

320845951764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86407 (or 86376 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 320845951764 in words is "three hundred twenty billion, eight hundred forty-five million, nine hundred fifty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 169 188 234 282 338 423 468 507 564 611 676 846 1014 1222 1521 1692 1833 2028 2197 2444 3042 3666 4394 5499 6084 6591 7332 7943 8788 10998 13182 15886 19773 21996 23829 26364 31772 39546 47658 71487 79092 86311 95316 103259 142974 172622 206518 258933 285948 309777 345244 413036 517866 619554 776799 929331 1035732 1122043 1239108 1553598 1858662 2244086 3107196 3366129 3717324 4056617 4488172 6732258 8113234 10098387 12169851 13464516 14586559 16226468 20196774 24339702 29173118 36509553 40393548 43759677 48679404 52736021 58346236 73019106 87519354 105472042 131279031 146038212 158208063 175038708 189625267 210944084 262558062 316416126 379250534 474624189 525116124 568875801 632832252 685568273 758501068 949248378 1137751602 1371136546 1706627403 1898496756 2056704819 2275503204 2742273092 3413254806 4113409638 6170114457 6826509612 8226819276 8912387549 12340228914 17824775098 24680457828 26737162647 35649550196 53474325294 80211487941 106948650588 160422975882 320845951764