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20371961335040 = 2857346401151
BaseRepresentation
bin1001010000111001101111…
…00001001100110100000000
32200010112121000100010010222
410220130313201030310000
510132233234100210130
6111154425544242212
74201553123141000
oct450346741146400
980115530303128
1020371961335040
116544778094457
122350280770368
13b4a0b59b7363
14506018688000
15254dc4e2bce5
hex12873784cd00

20371961335040 has 144 divisors (see below), whose sum is σ = 56906372812800. Its totient is φ = 6984672307200.

The previous prime is 20371961335009. The next prime is 20371961335081. The reversal of 20371961335040 is 4053316917302.

It is a junction number, because it is equal to n+sod(n) for n = 20371961334982 and 20371961335000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22761536 + ... + 23639615.

Almost surely, 220371961335040 is an apocalyptic number.

20371961335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20371961335040 is an abundant number, since it is smaller than the sum of its proper divisors (36534411477760).

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

20371961335040 is an frugal number, since it uses more digits than its factorization.

20371961335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46401193 (or 46401165 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 20371961335040 in words is "twenty trillion, three hundred seventy-one billion, nine hundred sixty-one million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 560 640 686 784 896 980 1120 1280 1372 1568 1715 1792 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 8960 10976 12544 13720 15680 21952 27440 31360 43904 54880 62720 87808 109760 219520 439040 46401151 92802302 185604604 232005755 324808057 371209208 464011510 649616114 742418416 928023020 1299232228 1484836832 1624040285 1856046040 2273656399 2598464456 2969673664 3248080570 3712092080 4547312798 5196928912 5939347328 6496161140 7424184160 9094625596 10393857824 11368281995 11878694656 12992322280 14848368320 15915594793 18189251192 20787715648 22736563990 25984644560 29696736640 31831189586 36378502384 41575431296 45473127980 51969289120 59393473280 63662379172 72757004768 79577973965 83150862592 90946255960 103938578240 127324758344 145514009536 159155947930 181892511920 207877156480 254649516688 291028019072 318311895860 363785023840 415754312960 509299033376 582056038144 636623791720 727570047680 1018598066752 1273247583440 1455140095360 2037196133504 2546495166880 2910280190720 4074392267008 5092990333760 10185980667520 20371961335040