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27722003428 = 227217193971103
BaseRepresentation
bin11001110100010111…
…000011001111100100
32122112222211200112201
4121310113003033210
5423233313102203
620422454424244
72000656066300
oct316427031744
978488750481
1027722003428
1110836391539
125458062084
1327ca455232
1414adaa6d00
15ac3b51e1d
hex6745c33e4

27722003428 has 144 divisors (see below), whose sum is σ = 63114266880. Its totient is φ = 10557195264.

The previous prime is 27722003417. The next prime is 27722003443. The reversal of 27722003428 is 82430022772.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25132725 + ... + 25133827.

It is an arithmetic number, because the mean of its divisors is an integer number (438293520).

Almost surely, 227722003428 is an apocalyptic number.

27722003428 is a gapful number since it is divisible by the number (28) 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 27722003428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31557133440).

27722003428 is an abundant number, since it is smaller than the sum of its proper divisors (35392263452).

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

27722003428 is a wasteful number, since it uses less digits than its factorization.

27722003428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 27722003428 in words is "twenty-seven billion, seven hundred twenty-two million, three thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 397 476 532 646 794 833 931 1103 1292 1588 1666 1862 2206 2261 2779 3332 3724 4412 4522 5558 6749 7543 7721 9044 11116 13498 15086 15442 15827 18751 19453 20957 26996 30172 30884 31654 37502 38906 41914 47243 52801 54047 63308 75004 77812 83828 94486 105602 108094 128231 131257 146699 188972 211204 216188 256462 262514 293398 330701 356269 369607 437891 512924 525028 586796 661402 712538 739214 875782 897617 918799 1026893 1322804 1425076 1478428 1751564 1795234 1837598 2053786 2493883 3065237 3590468 3675196 4107572 4987766 6130474 6283319 7444147 8319929 9975532 12260948 12566638 14888294 16639858 17457181 21456659 25133276 29776588 33279716 34914362 42913318 52109029 58239503 69828724 85826636 104218058 116479006 141438793 208436116 232958012 282877586 364763203 407676521 565755172 729526406 815353042 990071551 1459052812 1630706084 1980143102 3960286204 6930500857 13861001714 27722003428