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157226338752 = 2637294033927
BaseRepresentation
bin1001001001101101101…
…0111000100111000000
3120000211101002120001120
42102123122320213000
510033444420320002
6200121230032240
714234133554160
oct2223332704700
9500741076046
10157226338752
116075219543a
122657a948680
1311a98732052
1478773c85a0
154153206cbc
hex249b6b89c0

157226338752 has 112 divisors (see below), whose sum is σ = 491816501760. Its totient is φ = 43372772352.

The previous prime is 157226338751. The next prime is 157226338807. The reversal of 157226338752 is 257833622751.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157226338695 and 157226338704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157226338751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977988 + ... + 2055939.

Almost surely, 2157226338752 is an apocalyptic number.

157226338752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157226338752 is an abundant number, since it is smaller than the sum of its proper divisors (334590163008).

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

157226338752 is a wasteful number, since it uses less digits than its factorization.

157226338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033978 (or 4033968 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The spelling of 157226338752 in words is "one hundred fifty-seven billion, two hundred twenty-six million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12992 19488 38976 4033927 8067854 12101781 16135708 24203562 28237489 32271416 48407124 56474978 64542832 84712467 96814248 112949956 116983883 129085664 169424934 193628496 225899912 233967766 258171328 338849868 350951649 387256992 451799824 467935532 677699736 701903298 774513984 818887181 903599648 935871064 1355399472 1403806596 1637774362 1807199296 1871742128 2456661543 2710798944 2807613192 3275548724 3743484256 4913323086 5421597888 5615226384 6551097448 7486968512 9826646172 11230452768 13102194896 19653292344 22460905536 26204389792 39306584688 52408779584 78613169376 157226338752