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157733224448 = 21710972
BaseRepresentation
bin1001001011100110100…
…0100000000000000000
3120002010200220000111212
42102321220200000000
510041014201140243
6200243414225252
714252530200062
oct2227150400000
9502120800455
10157733224448
1160992325138
12266a0655228
1311b49758307
1478c4853732
154182980318
hex24b9a20000

157733224448 has 54 divisors (see below), whose sum is σ = 315753078501. Its totient is φ = 78794719232.

The previous prime is 157733224427. The next prime is 157733224511. The reversal of 157733224448 is 844422337751.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 150022979584 + 7710244864 = 387328^2 + 87808^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=280832.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157733224396 and 157733224405.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143785436 + ... + 143786532.

Almost surely, 2157733224448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157733224448

157733224448 is an abundant number, since it is smaller than the sum of its proper divisors (158019854053).

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

157733224448 is an frugal number, since it uses more digits than its factorization.

157733224448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 1099 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 50.

Multiplying 157733224448 by its sum of digits (50), we get a square (7886661222400 = 28083202).

The spelling of 157733224448 in words is "one hundred fifty-seven billion, seven hundred thirty-three million, two hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1097 2048 2194 4096 4388 8192 8776 16384 17552 32768 35104 65536 70208 131072 140416 280832 561664 1123328 1203409 2246656 2406818 4493312 4813636 8986624 9627272 17973248 19254544 35946496 38509088 71892992 77018176 143785984 154036352 308072704 616145408 1232290816 2464581632 4929163264 9858326528 19716653056 39433306112 78866612224 157733224448