Search a number
-
+
1377198975152 = 2471121331461547
BaseRepresentation
bin10100000010100111011…
…101001010100010110000
311212122210100211201111002
4110002213131022202300
5140031000414201102
62532402041341132
7201333163065650
oct24024735124260
94778710751432
101377198975152
11491080a10900
121a2ab11977a8
139cb3bb336b0
144a92a314360
1525c56555902
hex140a774a8b0

1377198975152 has 480 divisors, whose sum is σ = 3741139218432. Its totient is φ = 477404928000.

The previous prime is 1377198975143. The next prime is 1377198975167. The reversal of 1377198975152 is 2515798917731.

It is a super-2 number, since 2×13771989751522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2517730943 + ... + 2517731489.

Almost surely, 21377198975152 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 1377198975152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870569609216).

1377198975152 is an abundant number, since it is smaller than the sum of its proper divisors (2363940243280).

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

1377198975152 is a wasteful number, since it uses less digits than its factorization.

1377198975152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1072 counting only the distinct ones).

The product of its digits is 33339600, while the sum is 65.

The spelling of 1377198975152 in words is "one trillion, three hundred seventy-seven billion, one hundred ninety-eight million, nine hundred seventy-five thousand, one hundred fifty-two".