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264190108680 = 23345311262187
BaseRepresentation
bin1111011000001011110…
…1010010010000001000
3221020220212022001210000
43312002331102100020
513312030131434210
6321211154523000
725041606605001
oct3660275222010
9836825261700
10264190108680
11a20514799a3
1243250896460
131bbb3ba0ac4
14cb032541a8
156d139a0ac0
hex3d82f52408

264190108680 has 160 divisors (see below), whose sum is σ = 890830923840. Its totient is φ = 70223898240.

The previous prime is 264190108673. The next prime is 264190108709. The reversal of 264190108680 is 86801091462.

It is a super-2 number, since 2×2641901086802 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 876547 + ... + 1138733.

It is an arithmetic number, because the mean of its divisors is an integer number (5567693274).

Almost surely, 2264190108680 is an apocalyptic number.

264190108680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264190108680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445415461920).

264190108680 is an abundant number, since it is smaller than the sum of its proper divisors (626640815160).

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

264190108680 is a wasteful number, since it uses less digits than its factorization.

264190108680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262521 (or 262508 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 264 and 190108680, that added together give a square (190108944 = 137882).

The spelling of 264190108680 in words is "two hundred sixty-four billion, one hundred ninety million, one hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 311 324 360 405 540 622 648 810 933 1080 1244 1555 1620 1866 2488 2799 3110 3240 3732 4665 5598 6220 7464 8397 9330 11196 12440 13995 16794 18660 22392 25191 27990 33588 37320 41985 50382 55980 67176 83970 100764 111960 125955 167940 201528 251910 262187 335880 503820 524374 786561 1007640 1048748 1310935 1573122 2097496 2359683 2621870 3146244 3932805 4719366 5243740 6292488 7079049 7865610 9438732 10487480 11798415 14158098 15731220 18877464 21237147 23596830 28316196 31462440 35395245 42474294 47193660 56632392 70790490 81540157 84948588 94387320 106185735 141580980 163080314 169897176 212371470 244620471 283161960 326160628 407700785 424742940 489240942 652321256 733861413 815401570 849485880 978481884 1223102355 1467722826 1630803140 1956963768 2201584239 2446204710 2935445652 3261606280 3669307065 4403168478 4892409420 5870891304 6604752717 7338614130 8806336956 9784818840 11007921195 13209505434 14677228260 17612673912 22015842390 26419010868 29354456520 33023763585 44031684780 52838021736 66047527170 88063369560 132095054340 264190108680