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20545372120 = 2357139758189
BaseRepresentation
bin10011001000100110…
…010111111111011000
31222000211202001011011
4103020212113333120
5314034103401440
613234410343304
71325063532040
oct231046277730
958024661134
1020545372120
118793366189
123b9472ab34
131c25687830
14dcc8cc720
15803a979ea
hex4c8997fd8

20545372120 has 128 divisors (see below), whose sum is σ = 57482409600. Its totient is φ = 6435127296.

The previous prime is 20545372091. The next prime is 20545372121. The reversal of 20545372120 is 2127354502.

It is a super-2 number, since 2×205453721202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20545372121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 323986 + ... + 382174.

It is an arithmetic number, because the mean of its divisors is an integer number (449081325).

Almost surely, 220545372120 is an apocalyptic number.

20545372120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20545372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28741204800).

20545372120 is an abundant number, since it is smaller than the sum of its proper divisors (36937037480).

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

20545372120 is a wasteful number, since it uses less digits than its factorization.

20545372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58317 (or 58313 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 20545372120 in words is "twenty billion, five hundred forty-five million, three hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 97 104 130 140 182 194 260 280 364 388 455 485 520 679 728 776 910 970 1261 1358 1820 1940 2522 2716 3395 3640 3880 5044 5432 6305 6790 8827 10088 12610 13580 17654 25220 27160 35308 44135 50440 58189 70616 88270 116378 176540 232756 290945 353080 407323 465512 581890 756457 814646 1163780 1512914 1629292 2036615 2327560 3025828 3258584 3782285 4073230 5295199 5644333 6051656 7564570 8146460 10590398 11288666 15129140 16292920 21180796 22577332 26475995 28221665 30258280 39510331 42361592 45154664 52951990 56443330 73376329 79020662 105903980 112886660 146752658 158041324 197551655 211807960 225773320 293505316 316082648 366881645 395103310 513634303 587010632 733763290 790206620 1027268606 1467526580 1580413240 2054537212 2568171515 2935053160 4109074424 5136343030 10272686060 20545372120