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56005603253760 = 293513155667147
BaseRepresentation
bin11001011101111110100100…
…00101100101111000000000
321100022002020210012121012010
430232333102011211320000
524320043433413110020
6315040341405332520
714540162026000146
oct1456772205457000
9240262223177163
1056005603253760
111693292aa78a76
126346317267140
1325333c88a9234
14db898564b596
15671c7a9b0de0
hex32efd2165e00

56005603253760 has 160 divisors (see below), whose sum is σ = 180409655935872. Its totient is φ = 14820820951040.

The previous prime is 56005603253657. The next prime is 56005603253767. The reversal of 56005603253760 is 6735230650065.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005603253767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26827494 + ... + 28839653.

Almost surely, 256005603253760 is an apocalyptic number.

It is an amenable number.

56005603253760 is an abundant number, since it is smaller than the sum of its proper divisors (124404052682112).

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

56005603253760 is a wasteful number, since it uses less digits than its factorization.

56005603253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55667304 (or 55667288 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 48.

The spelling of 56005603253760 in words is "fifty-six trillion, five billion, six hundred three million, two hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 512 524 640 655 768 786 960 1048 1280 1310 1536 1572 1920 1965 2096 2560 2620 3144 3840 3930 4192 5240 6288 7680 7860 8384 10480 12576 15720 16768 20960 25152 31440 33536 41920 50304 62880 67072 83840 100608 125760 167680 201216 251520 335360 503040 1006080 55667147 111334294 167001441 222668588 278335735 334002882 445337176 556671470 668005764 835007205 890674352 1113342940 1336011528 1670014410 1781348704 2226685880 2672023056 3340028820 3562697408 4453371760 5344046112 6680057640 7125394816 7292396257 8906743520 10688092224 13360115280 14250789632 14584792514 17813487040 21376184448 21877188771 26720230560 28501579264 29169585028 35626974080 36461981285 42752368896 43754377542 53440461120 58339170056 71253948160 72923962570 85504737792 87508755084 106880922240 109385943855 116678340112 142507896320 145847925140 175017510168 213761844480 218771887710 233356680224 291695850280 350035020336 427523688960 437543775420 466713360448 583391700560 700070040672 875087550840 933426720896 1166783401120 1400140081344 1750175101680 1866853441792 2333566802240 2800280162688 3500350203360 3733706883584 4667133604480 5600560325376 7000700406720 9334267208960 11201120650752 14001400813440 18668534417920 28002801626880 56005603253760