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82755711214000 = 2453119738779621
BaseRepresentation
bin10010110100010000010000…
…110001010010000110110000
3101212000100221210200011201021
4102310100100301102012300
541321332144032322000
6452001240543345224
723300621446010356
oct2264202061220660
9355010853604637
1082755711214000
11244065555a8240
1293467402b2214
133723aa38c94b6
14166157d7937d6
159879ec95511a
hex4b4410c521b0

82755711214000 has 160 divisors (see below), whose sum is σ = 220544984342592. Its totient is φ = 29782748160000.

The previous prime is 82755711213949. The next prime is 82755711214019. The reversal of 82755711214000 is 41211755728.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17255811 + ... + 21523810.

Almost surely, 282755711214000 is an apocalyptic number.

82755711214000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82755711214000 is an abundant number, since it is smaller than the sum of its proper divisors (137789273128592).

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

82755711214000 is a wasteful number, since it uses less digits than its factorization.

82755711214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38779752 (or 38779736 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 43.

Adding to 82755711214000 its reverse (41211755728), we get a palindrome (82796922969728).

The spelling of 82755711214000 in words is "eighty-two trillion, seven hundred fifty-five billion, seven hundred eleven million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 97 100 110 125 176 194 200 220 250 275 388 400 440 485 500 550 776 880 970 1000 1067 1100 1375 1552 1940 2000 2134 2200 2425 2750 3880 4268 4400 4850 5335 5500 7760 8536 9700 10670 11000 12125 17072 19400 21340 22000 24250 26675 38800 42680 48500 53350 85360 97000 106700 133375 194000 213400 266750 426800 533500 1067000 2134000 38779621 77559242 155118484 193898105 310236968 387796210 426575831 620473936 775592420 853151662 969490525 1551184840 1706303324 1938981050 2132879155 3102369680 3412606648 3761623237 3877962100 4265758310 4847452625 6825213296 7523246474 7755924200 8531516620 9694905250 10664395775 15046492948 15511848400 17063033240 18808116185 19389810500 21328791550 30092985896 34126066480 37616232370 38779621000 41377855607 42657583100 53321978875 60185971792 75232464740 77559242000 82755711214 85315166200 94040580925 106643957750 150464929480 165511422428 170630332400 188081161850 206889278035 213287915500 300929858960 331022844856 376162323700 413778556070 426575831000 470202904625 662045689712 752324647400 827557112140 853151662000 940405809250 1034446390175 1504649294800 1655114224280 1880811618500 2068892780350 3310228448560 3761623237000 4137785560700 5172231950875 7523246474000 8275571121400 10344463901750 16551142242800 20688927803500 41377855607000 82755711214000