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42733155604100 = 2252133194506853
BaseRepresentation
bin10011011011101100101101…
…00011110101011010000100
312121022020202002101110102112
421231312112203311122010
521100120000313312400
6230515201330200152
712000240301260113
oct1155662643653204
9177266662343375
1042733155604100
1112686036318655
124961b7b423058
131aac947357000
14a7a41d827c7a
154e18c2959835
hex26dd968f5684

42733155604100 has 72 divisors (see below), whose sum is σ = 100455009816840. Its totient is φ = 15778395834240.

The previous prime is 42733155604063. The next prime is 42733155604147. The reversal of 42733155604100 is 140655133724.

It can be written as a sum of positive squares in 12 ways, for example, as 42570509553664 + 162646050436 = 6524608^2 + 403294^2 .

It is a super-2 number, since 2×427331556041002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97033727 + ... + 97473126.

Almost surely, 242733155604100 is an apocalyptic number.

It is an amenable number.

42733155604100 is an abundant number, since it is smaller than the sum of its proper divisors (57721854212740).

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

42733155604100 is a wasteful number, since it uses less digits than its factorization.

42733155604100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194506906 (or 194506873 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 42733155604100 in words is "forty-two trillion, seven hundred thirty-three billion, one hundred fifty-five million, six hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 2197 3380 4225 4394 8450 8788 10985 16900 21970 43940 54925 109850 219700 194506853 389013706 778027412 972534265 1945068530 2528589089 3890137060 4862671325 5057178178 9725342650 10114356356 12642945445 19450685300 25285890890 32871658157 50571781780 63214727225 65743316314 126429454450 131486632628 164358290785 252858908900 328716581570 427331556041 657433163140 821791453925 854663112082 1643582907850 1709326224164 2136657780205 3287165815700 4273315560410 8546631120820 10683288901025 21366577802050 42733155604100