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320164526116064 = 25721737332201003
BaseRepresentation
bin100100011001100000001110…
…0110110010100110011100000
31112222121102121022022202112002
41020303000130312110303200
5313431033422141203224
63052533315224023132
7124303060264436600
oct11063003466246340
91488542538282462
10320164526116064
1193018016358703
122baaa044001aa8
1310985501574146
14590c08d750c00
1527033326cd9ae
hex123301cd94ce0

320164526116064 has 144 divisors (see below), whose sum is σ = 778446777710448. Its totient is φ = 128795764543488.

The previous prime is 320164526115919. The next prime is 320164526116139. The reversal of 320164526116064 is 460611625461023.

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, 6157814 + ... + 26043189.

It is an arithmetic number, because the mean of its divisors is an integer number (5405880400767).

Almost surely, 2320164526116064 is an apocalyptic number.

320164526116064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

320164526116064 is an abundant number, since it is smaller than the sum of its proper divisors (458282251594384).

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

320164526116064 is a wasteful number, since it uses less digits than its factorization.

320164526116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32201417 (or 32201402 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 320164526116064 in words is "three hundred twenty trillion, one hundred sixty-four billion, five hundred twenty-six million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 373 392 476 544 746 784 833 952 1492 1568 1666 1904 2611 2984 3332 3808 5222 5968 6341 6664 10444 11936 12682 13328 18277 20888 25364 26656 36554 41776 44387 50728 73108 83552 88774 101456 146216 177548 202912 292432 310709 355096 584864 621418 710192 1242836 1420384 2485672 4971344 9942688 32201003 64402006 128804012 225407021 257608024 450814042 515216048 547417051 901628084 1030432096 1094834102 1577849147 1803256168 2189668204 3155698294 3606512336 3831919357 4379336408 6311396588 7213024672 7663838714 8758672816 12010974119 12622793176 15327677428 17517345632 24021948238 25245586352 26823435499 30655354856 48043896476 50491172704 53646870998 61310709712 84076818833 96087792952 107293741996 122621419424 168153637666 192175585904 204186560023 214587483992 336307275332 384351171808 408373120046 429174967984 588537731831 672614550664 816746240092 858349935968 1177075463662 1345229101328 1429305920161 1633492480184 2354150927324 2690458202656 2858611840322 3266984960368 4708301854648 5717223680644 6533969920736 9416603709296 10005141441127 11434447361288 18833207418592 20010282882254 22868894722576 40020565764508 45737789445152 80041131529016 160082263058032 320164526116064