Search a number
-
+
53767800018408 = 233745091833163
BaseRepresentation
bin11000011100110110010101…
…00111101101010111101000
321001101011002102121201210210
430032123022213231113220
524021412423301042113
6310204330351541120
714216411131230000
oct1416331247552750
9231334072551723
1053767800018408
111614a883428823
12604468752a7a0
1324003881112a8
14d3c538187000
156339558556c3
hex30e6ca9ed5e8

53767800018408 has 160 divisors (see below), whose sum is σ = 157121586338400. Its totient is φ = 15332039017344.

The previous prime is 53767800018377. The next prime is 53767800018437. The reversal of 53767800018408 is 80481000876735.

It is a Cunningham number, because it is equal to 73326532-1.

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, 28414035 + ... + 30247197.

It is an arithmetic number, because the mean of its divisors is an integer number (982009914615).

Almost surely, 253767800018408 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 53767800018408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78560793169200).

53767800018408 is an abundant number, since it is smaller than the sum of its proper divisors (103353786319992).

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

53767800018408 is a wasteful number, since it uses less digits than its factorization.

53767800018408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833709 (or 1833684 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 53767800018408 in words is "fifty-three trillion, seven hundred sixty-seven billion, eight hundred million, eighteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 509 588 686 1018 1029 1176 1372 1527 2036 2058 2401 2744 3054 3563 4072 4116 4802 6108 7126 7203 8232 9604 10689 12216 14252 14406 19208 21378 24941 28504 28812 42756 49882 57624 74823 85512 99764 149646 174587 199528 299292 349174 523761 598584 698348 1047522 1222109 1396696 1833163 2095044 2444218 3666326 3666327 4190088 4888436 5499489 7332652 7332654 9776872 10998978 12832141 14665304 14665308 21997956 25664282 29330616 38496423 43995912 51328564 76992846 89824987 102657128 153985692 179649974 269474961 307971384 359299948 538949922 628774909 718599896 933079967 1077899844 1257549818 1866159934 1886324727 2155799688 2515099636 2799239901 3732319868 3772649454 4401424363 5030199272 5598479802 6531559769 7464639736 7545298908 8802848726 11196959604 13063119538 13204273089 15090597816 17605697452 19594679307 22393919208 26126239076 26408546178 35211394904 39189358614 45720918383 52252478152 52817092356 78378717228 91441836766 105634184712 137162755149 156757434456 182883673532 274325510298 320046428681 365767347064 548651020596 640092857362 960139286043 1097302041192 1280185714724 1920278572086 2240325000767 2560371429448 3840557144172 4480650001534 6720975002301 7681114288344 8961300003068 13441950004602 17922600006136 26883900009204 53767800018408