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642442250100 = 223527674566043
BaseRepresentation
bin10010101100101001000…
…10101100011101110100
32021102020220102202022010
421112110202230131310
541011210204000400
61211044531004220
764262214011340
oct11262442543564
92242226382263
10642442250100
112285049a1252
12a4614739670
134877499c471
1423146d4c620
1511aa0e74450
hex95948ac774

642442250100 has 144 divisors (see below), whose sum is σ = 2156049448448. Its totient is φ = 144652210560.

The previous prime is 642442250053. The next prime is 642442250119. The reversal of 642442250100 is 1052244246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2142322 + ... + 2423721.

Almost surely, 2642442250100 is an apocalyptic number.

642442250100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642442250100 is an abundant number, since it is smaller than the sum of its proper divisors (1513607198348).

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

642442250100 is a wasteful number, since it uses less digits than its factorization.

642442250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566134 (or 4566127 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 642442250100 its reverse (1052244246), we get a palindrome (643494494346).

The spelling of 642442250100 in words is "six hundred forty-two billion, four hundred forty-two million, two hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1876 2010 2100 2345 2814 3350 4020 4690 5025 5628 6700 7035 9380 10050 11725 14070 20100 23450 28140 35175 46900 70350 140700 4566043 9132086 13698129 18264172 22830215 27396258 31962301 45660430 54792516 63924602 68490645 91320860 95886903 114151075 127849204 136981290 159811505 191773806 228302150 273962580 305924881 319623010 342453225 383547612 456604300 479434515 611849762 639246020 684906450 799057525 917774643 958869030 1223699524 1369812900 1529624405 1598115050 1835549286 1917738060 2141474167 2397172575 3059248810 3196230100 3671098572 4282948334 4588873215 4794345150 6118497620 6424422501 7648122025 8565896668 9177746430 9588690300 10707370835 12848845002 15296244050 18355492860 21414741670 22944366075 25697690004 30592488100 32122112505 42829483340 45888732150 53536854175 64244225010 91777464300 107073708350 128488450020 160610562525 214147416700 321221125050 642442250100