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1557549952434 = 2327191373473857
BaseRepresentation
bin10110101010100101001…
…101100010110110110010
312111220022100000122001100
4112222211031202312302
5201004330241434214
63151310100545230
7220346353103310
oct26524515426662
95456270018040
101557549952434
1155060a385453
12211a443b2216
13b3b513b3bb8
14555589930b0
152a7ae98c309
hex16aa5362db2

1557549952434 has 96 divisors (see below), whose sum is σ = 4062744766080. Its totient is φ = 421284519936.

The previous prime is 1557549952423. The next prime is 1557549952447. The reversal of 1557549952434 is 4342599457551.

1557549952434 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 549 + 9 + 52 + 4 + 34 = 666.

It is a super-3 number, since 3×15575499524343 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3050034 + ... + 3523890.

It is an arithmetic number, because the mean of its divisors is an integer number (42320257980).

Almost surely, 21557549952434 is an apocalyptic number.

1557549952434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1557549952434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031372383040).

1557549952434 is an abundant number, since it is smaller than the sum of its proper divisors (2505194813646).

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

1557549952434 is a wasteful number, since it uses less digits than its factorization.

1557549952434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475264 (or 475261 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 1557549952434 in words is "one trillion, five hundred fifty-seven billion, five hundred forty-nine million, nine hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1373 2394 2746 4119 8238 9611 12357 19222 24714 26087 28833 52174 57666 78261 86499 156522 172998 182609 234783 365218 469566 473857 547827 947714 1095654 1421571 1643481 2843142 3286962 3316999 4264713 6633998 8529426 9003283 9950997 18006566 19901994 27009849 29852991 54019698 59705982 63022981 81029547 126045962 162059094 189068943 378137886 567206829 650605661 1134413658 1301211322 1951816983 3903633966 4554239627 5855450949 9108479254 11710901898 12361507559 13662718881 24723015118 27325437762 37084522677 40988156643 74169045354 81976313286 86530552913 111253568031 173061105826 222507136062 259591658739 519183317478 778774976217 1557549952434