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138258607312 = 24747181114503
BaseRepresentation
bin1000000011000011011…
…0101110110011010000
3111012212110221222001201
42000300312232303100
54231123200413222
6143303133440544
712663114525460
oct2006066566320
9435773858051
10138258607312
11536a941a031
1222966640154
1310064b82017
14699824dba0
1538e2de3427
hex2030daecd0

138258607312 has 80 divisors (see below), whose sum is σ = 312851976192. Its totient is φ = 57956952960.

The previous prime is 138258607283. The next prime is 138258607321. The reversal of 138258607312 is 213706852831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9525853 + ... + 9540355.

Almost surely, 2138258607312 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 138258607312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156425988096).

138258607312 is an abundant number, since it is smaller than the sum of its proper divisors (174593368880).

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

138258607312 is a wasteful number, since it uses less digits than its factorization.

138258607312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 138258607312 in words is "one hundred thirty-eight billion, two hundred fifty-eight million, six hundred seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 1811 2632 3622 5264 7244 12677 14488 14503 25354 28976 29006 50708 58012 85117 101416 101521 116024 170234 202832 203042 232048 340468 406084 595819 680936 681641 812168 1191638 1361872 1363282 1624336 2383276 2726564 4766552 4771487 5453128 9533104 9542974 10906256 19085948 26264933 38171896 52529866 76343792 105059732 183854531 210119464 367709062 420238928 735418124 1234451851 1470836248 2468903702 2941672496 4937807404 8641162957 9875614808 17282325914 19751229616 34564651828 69129303656 138258607312