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2045653177920 = 263511193717157
BaseRepresentation
bin11101110001001010011…
…011100101011001000000
321020120012002100120200120
4131301022123211121000
5232003444203143140
64203432103020240
7300536123054112
oct35611233453100
97216162316616
102045653177920
117196139860a0
1229056513a680
1311ab9a89cb11
147101db893b2
153832ae401d0
hex1dc4a6e5640

2045653177920 has 112 divisors (see below), whose sum is σ = 7085398771008. Its totient is φ = 495915919360.

The previous prime is 2045653177907. The next prime is 2045653177949. The reversal of 2045653177920 is 297713565402.

It is a super-3 number, since 3×20456531779203 (a number of 38 digits) contains 333 as substring.

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, 96848019 + ... + 96869138.

Almost surely, 22045653177920 is an apocalyptic number.

2045653177920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045653177920 is an abundant number, since it is smaller than the sum of its proper divisors (5039745593088).

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

2045653177920 is a wasteful number, since it uses less digits than its factorization.

2045653177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193717188 (or 193717178 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 2045653177920 in words is "two trillion, forty-five billion, six hundred fifty-three million, one hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 193717157 387434314 581151471 774868628 968585785 1162302942 1549737256 1937171570 2130888727 2324605884 2905757355 3099474512 3874343140 4261777454 4649211768 5811514710 6198949024 6392666181 7748686280 8523554908 9298423536 10654443635 11623029420 12397898048 12785332362 15497372560 17047109816 18596847072 21308887270 23246058840 25570664724 30994745120 31963330905 34094219632 37193694144 42617774540 46492117680 51141329448 61989490240 63926661810 68188439264 85235549080 92984235360 102282658896 127853323620 136376878528 170471098160 185968470720 204565317792 255706647240 340942196320 409130635584 511413294480 681884392640 1022826588960 2045653177920