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77026672350 = 232522957110337
BaseRepresentation
bin100011110111100100…
…1011011111011011110
321100211010021101020200
41013233021123323132
52230222312003400
655215140524330
75364535624605
oct1075711337336
9240733241220
1077026672350
112a737604001
1212b180b06a6
13735712ba44
143a29d16a3c
15200c447b00
hex11ef25bede

77026672350 has 144 divisors (see below), whose sum is σ = 214476696720. Its totient is φ = 19795507200.

The previous prime is 77026672301. The next prime is 77026672369. The reversal of 77026672350 is 5327662077.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 77026672296 and 77026672305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7446382 + ... + 7456718.

It is an arithmetic number, because the mean of its divisors is an integer number (1489421505).

Almost surely, 277026672350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77026672350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107238348360).

77026672350 is an abundant number, since it is smaller than the sum of its proper divisors (137450024370).

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

77026672350 is a wasteful number, since it uses less digits than its factorization.

77026672350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10955 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 77026672350 in words is "seventy-seven billion, twenty-six million, six hundred seventy-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 571 725 870 1142 1305 1450 1713 2175 2610 2855 3426 4350 5139 5710 6525 8565 10278 10337 13050 14275 16559 17130 20674 25695 28550 31011 33118 42825 49677 51390 51685 62022 82795 85650 93033 99354 103370 128475 149031 155055 165590 186066 248385 256950 258425 298062 299773 310110 413975 465165 496770 516850 599546 745155 775275 827950 899319 930330 1241925 1490310 1498865 1550550 1798638 2325825 2483850 2697957 2997730 3725775 4496595 4651650 5395914 5902427 7451550 7494325 8993190 11804854 13489785 14988650 17707281 22482975 26979570 29512135 35414562 44965950 53121843 59024270 67448925 88536405 106243686 134897850 147560675 171170383 177072810 265609215 295121350 342340766 442682025 513511149 531218430 855851915 885364050 1027022298 1328046075 1540533447 1711703830 2567555745 2656092150 3081066894 4279259575 5135111490 7702667235 8558519150 12837778725 15405334470 25675557450 38513336175 77026672350