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147291121376 = 25731193109903
BaseRepresentation
bin1000100100101100111…
…1000010011011100000
3112002011222020012222122
42021023033002123200
54403123011341001
6151355315523412
713433003605640
oct2111317023340
9462158205878
10147291121376
1157513aa8593
12246675b9568
1310b742a76b9
1471b3aca520
153c70d93b1b
hex224b3c26e0

147291121376 has 96 divisors (see below), whose sum is σ = 343871152128. Its totient is φ = 60771409920.

The previous prime is 147291121349. The next prime is 147291121379. The reversal of 147291121376 is 673121192741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147291121379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285241 + ... + 1395143.

It is an arithmetic number, because the mean of its divisors is an integer number (3581991168).

Almost surely, 2147291121376 is an apocalyptic number.

147291121376 is a gapful number since it is divisible by the number (16) 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 147291121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171935576064).

147291121376 is an abundant number, since it is smaller than the sum of its proper divisors (196580030752).

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

147291121376 is a wasteful number, since it uses less digits than its factorization.

147291121376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110144 (or 110136 counting only the distinct ones).

The product of its digits is 127008, while the sum is 44.

The spelling of 147291121376 in words is "one hundred forty-seven billion, two hundred ninety-one million, one hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 193 217 224 248 386 434 496 772 868 992 1351 1544 1736 2702 3088 3472 5404 5983 6176 6944 10808 11966 21616 23932 41881 43232 47864 83762 95728 109903 167524 191456 219806 335048 439612 670096 769321 879224 1340192 1538642 1758448 3077284 3406993 3516896 6154568 6813986 12309136 13627972 21211279 23848951 24618272 27255944 42422558 47697902 54511888 84845116 95395804 109023776 148478953 169690232 190791608 296957906 339380464 381583216 593915812 657549649 678760928 763166432 1187831624 1315099298 2375663248 2630198596 4602847543 4751326496 5260397192 9205695086 10520794384 18411390172 21041588768 36822780344 73645560688 147291121376