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1378149216 = 25315195071
BaseRepresentation
bin101001000100100…
…1110001101100000
310120001020020022120
41102021032031200
510310301233331
6344430304240
746103034513
oct12211161540
93501206276
101378149216
11647a249a4
12325658080
1318c69ab12
14d1064d7a
1580eca796
hex5224e360

1378149216 has 48 divisors (see below), whose sum is σ = 3641637888. Its totient is φ = 456336000.

The previous prime is 1378149203. The next prime is 1378149221. The reversal of 1378149216 is 6129418731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13781492162 = 3798590523122829312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33040 + ... + 62031.

It is an arithmetic number, because the mean of its divisors is an integer number (75867456).

Almost surely, 21378149216 is an apocalyptic number.

1378149216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1378149216 is an abundant number, since it is smaller than the sum of its proper divisors (2263488672).

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

1378149216 is a wasteful number, since it uses less digits than its factorization.

1378149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95235 (or 95227 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 1378149216 is about 37123.4321689146. The cubic root of 1378149216 is about 1112.8383426735.

The spelling of 1378149216 in words is "one billion, three hundred seventy-eight million, one hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496 95071 190142 285213 380284 570426 760568 1140852 1521136 2281704 3042272 4563408 9126816 14355721 28711442 43067163 57422884 86134326 114845768 172268652 229691536 344537304 459383072 689074608 1378149216