Search a number
-
+
57481009103700 = 223452713197395851
BaseRepresentation
bin11010001000111010101110…
…01000010000001101010100
321112112010112100121110120000
431010131113020100031110
530013232101312304300
6322130224441211300
715051602663542260
oct1504352710201524
9245463470543500
1057481009103700
1117351617126406
126544255790b30
13260c588898510
14102a14a7b90a0
1569a32db04c00
hex344757210354

57481009103700 has 720 divisors, whose sum is σ = 230494815137664. Its totient is φ = 12066268032000.

The previous prime is 57481009103699. The next prime is 57481009103801. The reversal of 57481009103700 is 730190018475.

57481009103700 is a `hidden beast` number, since 57 + 48 + 100 + 91 + 0 + 370 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 145010775 + ... + 145406625.

Almost surely, 257481009103700 is an apocalyptic number.

57481009103700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57481009103700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115247407568832).

57481009103700 is an abundant number, since it is smaller than the sum of its proper divisors (173013806033964).

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

57481009103700 is a wasteful number, since it uses less digits than its factorization.

57481009103700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396094 (or 396078 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 57481009103700 in words is "fifty-seven trillion, four hundred eighty-one billion, nine million, one hundred three thousand, seven hundred".