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4309052688960 = 263513033444817
BaseRepresentation
bin111110101101000111100…
…011100000101001000000
3120020221102021211222100120
4332231013203200221000
51031044414442021320
613055315041420240
7623214225343605
oct76550743405100
916227367758316
104309052688960
1114115059a7098
1259715903a680
1325345a294916
1410c7b88906ac
157714d2a2440
hex3eb478e0a40

4309052688960 has 112 divisors (see below), whose sum is σ = 13691746064256. Its totient is φ = 1148198510592.

The previous prime is 4309052688959. The next prime is 4309052689009. The reversal of 4309052688960 is 698862509034.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4309052688894 and 4309052688903.

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 15 ways as a sum of consecutive naturals, for example, 471529 + ... + 2973288.

Almost surely, 24309052688960 is an apocalyptic number.

4309052688960 is a gapful number since it is divisible by the number (40) 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 4309052688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845873032128).

4309052688960 is an abundant number, since it is smaller than the sum of its proper divisors (9382693375296).

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

4309052688960 is a wasteful number, since it uses less digits than its factorization.

4309052688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446140 (or 3446130 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 4309052688960 in words is "four trillion, three hundred nine billion, fifty-two million, six hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1303 2606 3909 5212 6515 7818 10424 13030 15636 19545 20848 26060 31272 39090 41696 52120 62544 78180 83392 104240 125088 156360 208480 250176 312720 416960 625440 1250880 3444817 6889634 10334451 13779268 17224085 20668902 27558536 34448170 41337804 51672255 55117072 68896340 82675608 103344510 110234144 137792680 165351216 206689020 220468288 275585360 330702432 413378040 551170720 661404864 826756080 1102341440 1653512160 3307024320 4488596551 8977193102 13465789653 17954386204 22442982755 26931579306 35908772408 44885965510 53863158612 67328948265 71817544816 89771931020 107726317224 134657896530 143635089632 179543862040 215452634448 269315793060 287270179264 359087724080 430905268896 538631586120 718175448160 861810537792 1077263172240 1436350896320 2154526344480 4309052688960