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10422609812055 = 32572101163287117
BaseRepresentation
bin1001011110101011001111…
…1101001001101001010111
31100220101120121011002011200
42113222303331021221113
52331231001102441210
634100025244003543
72124002662440600
oct227526375115127
940811517132150
1010422609812055
113359227581901
121203b7ab305b3
135a7b03a6b57c
14280658050da7
151311b17750c0
hex97ab3f49a57

10422609812055 has 144 divisors (see below), whose sum is σ = 21353737433184. Its totient is φ = 4688489433600.

The previous prime is 10422609812053. The next prime is 10422609812101. The reversal of 10422609812055 is 55021890622401.

10422609812055 is a `hidden beast` number, since 1 + 0 + 4 + 22 + 609 + 8 + 12 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 10422609812055 - 21 = 10422609812053 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10422609812055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422609812053) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36157357 + ... + 36444473.

It is an arithmetic number, because the mean of its divisors is an integer number (148289843286).

Almost surely, 210422609812055 is an apocalyptic number.

10422609812055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10422609812055 is an abundant number, since it is smaller than the sum of its proper divisors (10931127621129).

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

10422609812055 is a wasteful number, since it uses less digits than its factorization.

10422609812055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287406 (or 287396 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10422609812055 in words is "ten trillion, four hundred twenty-two billion, six hundred nine million, eight hundred twelve thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 101 105 147 163 245 303 315 441 489 505 707 735 815 909 1141 1467 1515 2121 2205 2445 3423 3535 4545 4949 5705 6363 7335 7987 10269 10605 14847 16463 17115 23961 24745 31815 39935 44541 49389 51345 71883 74235 82315 115241 119805 148167 222705 246945 287117 345723 359415 576205 740835 806687 861351 1037169 1435585 1728615 2009819 2420061 2584053 4033435 4306755 5185845 6029457 7260183 10049095 12100305 12920265 14068733 18088371 28998817 30147285 36300915 42206199 46800071 70343665 86996451 90441855 126618597 140400213 144994085 202991719 211030995 234000355 260989353 327600497 421200639 434982255 608975157 633092985 702001065 982801491 1014958595 1304946765 1420942033 1638002485 1826925471 2106003195 2293203479 2948404473 3044875785 4262826099 4726807171 4914007455 6879610437 7104710165 9134627355 11466017395 12788478297 14180421513 14742022365 20638831311 21314130495 23634035855 33087650197 34398052185 42541264539 63942391485 70902107565 99262950591 103194156555 165438250985 212706322695 231613551379 297788851773 496314752955 694840654137 1158067756895 1488944258865 2084521962411 3474203270685 10422609812055