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42754272450147 = 323137107257150611
BaseRepresentation
bin10011011100010100000010…
…01110001101011001100011
312121101021020202110101102200
421232022001032031121203
521100441222221401042
6230533012553344243
712001615504431666
oct1156120116153143
9177337222411380
1042754272450147
1112693a92218635
124966093408083
131ab193123029b
14a7b4641956dd
154e220b787c4c
hex26e28138d663

42754272450147 has 96 divisors (see below), whose sum is σ = 66340686956544. Its totient is φ = 26483455180800.

The previous prime is 42754272450121. The next prime is 42754272450157. The reversal of 42754272450147 is 74105427245724.

42754272450147 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 42 + 7 + 2 + 450 + 147 = 666.

It is not a de Polignac number, because 42754272450147 - 216 = 42754272384611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42754272450093 and 42754272450102.

It is not an unprimeable number, because it can be changed into a prime (42754272450157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283796872 + ... + 283947482.

It is an arithmetic number, because the mean of its divisors is an integer number (691048822464).

Almost surely, 242754272450147 is an apocalyptic number.

42754272450147 is a deficient number, since it is larger than the sum of its proper divisors (23586414506397).

42754272450147 is a wasteful number, since it uses less digits than its factorization.

42754272450147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151049 (or 151046 counting only the distinct ones).

The product of its (nonzero) digits is 17561600, while the sum is 54.

The spelling of 42754272450147 in words is "forty-two trillion, seven hundred fifty-four billion, two hundred seventy-two million, four hundred fifty thousand, one hundred forty-seven".

Divisors: 1 3 9 31 37 93 107 111 257 279 321 333 771 963 1147 2313 3317 3441 3959 7967 9509 9951 10323 11877 23901 27499 28527 29853 35631 71703 82497 85581 122729 150611 247491 294779 368187 451833 852469 884337 1017463 1104561 1355499 2557407 2653011 3052389 4668941 5572607 7672221 9157167 14006823 16115377 16717821 31541353 38707027 42020469 48346131 50153463 94624059 116121081 145038393 172750817 283872177 348363243 499576687 518252451 596268949 1199917837 1432159999 1498730061 1554757353 1788806847 3599753511 4141651889 4296479997 4496190183 5366420541 10799260533 12424955667 12889439991 18484337419 37274867001 44396959969 55453012257 128391208559 133190879907 153241119893 166359036771 385173625677 399572639721 459723359679 1155520877031 1379170079037 4750474716683 14251424150049 42754272450147