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138776333184 = 273419704477
BaseRepresentation
bin1000000100111110110…
…1101100101110000000
3111021012120011011110000
42001033231230232000
54233203220130214
6143430350240000
713012002240366
oct2011755545600
9437176134400
10138776333184
1153944693155
1222a8bab6000
13101182023a8
146a06cdb636
1539235ad809
hex204fb6cb80

138776333184 has 160 divisors (see below), whose sum is σ = 434733373800. Its totient is φ = 43824043008.

The previous prime is 138776333183. The next prime is 138776333243. The reversal of 138776333184 is 481333677831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138776333184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138776333183) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 155247 + ... + 549230.

Almost surely, 2138776333184 is an apocalyptic number.

It is an amenable number.

138776333184 is an abundant number, since it is smaller than the sum of its proper divisors (295957040616).

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

138776333184 is an equidigital number, since it uses as much as digits as its factorization.

138776333184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704522 (or 704501 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 138776333184 in words is "one hundred thirty-eight billion, seven hundred seventy-six million, three hundred thirty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 288 304 324 342 384 432 456 513 576 608 648 684 864 912 1026 1152 1216 1296 1368 1539 1728 1824 2052 2432 2592 2736 3078 3456 3648 4104 5184 5472 6156 7296 8208 10368 10944 12312 16416 21888 24624 32832 49248 65664 98496 196992 704477 1408954 2113431 2817908 4226862 5635816 6340293 8453724 11271632 12680586 13385063 16907448 19020879 22543264 25361172 26770126 33814896 38041758 40155189 45086528 50722344 53540252 57062637 67629792 76083516 80310378 90173056 101444688 107080504 114125274 120465567 135259584 152167032 160620756 202889376 214161008 228250548 240931134 270519168 304334064 321241512 361396701 405778752 428322016 456501096 481862268 608668128 642483024 722793402 811557504 856644032 913002192 963724536 1084190103 1217336256 1284966048 1445586804 1713288064 1826004384 1927449072 2168380206 2434672512 2569932096 2891173608 3652008768 3854898144 4336760412 5139864192 5782347216 7304017536 7709796288 8673520824 11564694432 15419592576 17347041648 23129388864 34694083296 46258777728 69388166592 138776333184