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155386449456 = 243710715727529
BaseRepresentation
bin1001000010110111000…
…0010000111000110000
3112212002011000111102120
42100231300100320300
510021212412340311
6155214502514240
714140423012350
oct2205560207060
9485064014376
10155386449456
115a998666377
1226146735980
13118644b6964
147740ccab60
15409691e706
hex242dc10e30

155386449456 has 160 divisors (see below), whose sum is σ = 466013744640. Its totient is φ = 43699488768.

The previous prime is 155386449433. The next prime is 155386449457. The reversal of 155386449456 is 654944683551.

It is a self number, because there is not a number n which added to its sum of digits gives 155386449456.

It is not an unprimeable number, because it can be changed into a prime (155386449457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5630700 + ... + 5658228.

It is an arithmetic number, because the mean of its divisors is an integer number (2912585904).

Almost surely, 2155386449456 is an apocalyptic number.

155386449456 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 155386449456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233006872320).

155386449456 is an abundant number, since it is smaller than the sum of its proper divisors (310627295184).

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

155386449456 is a wasteful number, since it uses less digits than its factorization.

155386449456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27811 (or 27805 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 60.

The spelling of 155386449456 in words is "one hundred fifty-five billion, three hundred eighty-six million, four hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 157 168 214 314 321 336 428 471 628 642 749 856 942 1099 1256 1284 1498 1712 1884 2198 2247 2512 2568 2996 3297 3768 4396 4494 5136 5992 6594 7536 8792 8988 11984 13188 16799 17584 17976 26376 27529 33598 35952 50397 52752 55058 67196 82587 100794 110116 117593 134392 165174 192703 201588 220232 235186 268784 330348 352779 385406 403176 440464 470372 578109 660696 705558 770812 806352 940744 1156218 1321392 1411116 1541624 1881488 2312436 2822232 2945603 3083248 4322053 4624872 5644464 5891206 8644106 8836809 9249744 11782412 12966159 17288212 17673618 20619221 23564824 25932318 30254371 34576424 35347236 41238442 47129648 51864636 60508742 61857663 69152848 70694472 82476884 90763113 103729272 121017484 123715326 141388944 164953768 181526226 207458544 242034968 247430652 329907536 363052452 462459671 484069936 494861304 726104904 924919342 989722608 1387379013 1452209808 1849838684 2774758026 3237217697 3699677368 5549516052 6474435394 7399354736 9711653091 11099032104 12948870788 19423306182 22198064208 25897741576 38846612364 51795483152 77693224728 155386449456