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1378217152 = 261311171483
BaseRepresentation
bin101001000100101…
…1110110011000000
310120001100200111201
41102021132303000
510310310422102
6344431550544
746103436544
oct12211366300
93501320451
101378217152
11647a70a44
1232568b454
1318c6c2a10
14d1081a24
1580ee0987
hex5225ecc0

1378217152 has 56 divisors (see below), whose sum is σ = 2949901136. Its totient is φ = 635102208.

The previous prime is 1378217089. The next prime is 1378217171. The reversal of 1378217152 is 2517128731.

It is a super-2 number, since 2×13782171522 = 3798965036133982208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928603 + ... + 930085.

It is an arithmetic number, because the mean of its divisors is an integer number (52676806).

Almost surely, 21378217152 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 1378217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474950568).

1378217152 is an abundant number, since it is smaller than the sum of its proper divisors (1571683984).

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

1378217152 is a wasteful number, since it uses less digits than its factorization.

1378217152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2615 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The square root of 1378217152 is about 37124.3471592431. The cubic root of 1378217152 is about 1112.8566281979.

The spelling of 1378217152 in words is "one billion, three hundred seventy-eight million, two hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1117 1483 2234 2966 4468 5932 8936 11864 14521 17872 19279 23728 29042 35744 38558 47456 58084 71488 77116 94912 116168 154232 232336 308464 464672 616928 929344 1233856 1656511 3313022 6626044 13252088 21534643 26504176 43069286 53008352 86138572 106016704 172277144 344554288 689108576 1378217152