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129922745216 = 2711247178481
BaseRepresentation
bin111100011111111111…
…1111100001110000000
3110102100112120021222112
41320333333330032000
54112040210321331
6135404035154452
712246415053515
oct1707777741600
9412315507875
10129922745216
1150111003500
122121aa45a28
13c336b95b44
14640711930c
1535a61a332b
hex1e3fffc380

129922745216 has 96 divisors (see below), whose sum is σ = 290554417440. Its totient is φ = 57798963200.

The previous prime is 129922745179. The next prime is 129922745233. The reversal of 129922745216 is 612547229921.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638696 + ... + 817176.

It is an arithmetic number, because the mean of its divisors is an integer number (3026608515).

Almost surely, 2129922745216 is an apocalyptic number.

129922745216 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 129922745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145277208720).

129922745216 is an abundant number, since it is smaller than the sum of its proper divisors (160631672224).

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

129922745216 is a wasteful number, since it uses less digits than its factorization.

129922745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178564 (or 178541 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The spelling of 129922745216 in words is "one hundred twenty-nine billion, nine hundred twenty-two million, seven hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 121 128 176 188 242 352 376 484 517 704 752 968 1034 1408 1504 1936 2068 3008 3872 4136 5687 6016 7744 8272 11374 15488 16544 22748 33088 45496 66176 90992 178481 181984 356962 363968 713924 727936 1427848 1963291 2855696 3926582 5711392 7853164 8388607 11422784 15706328 16777214 21596201 22845568 31412656 33554428 43192402 62825312 67108856 86384804 92274677 125650624 134217712 172769608 184549354 251301248 268435424 345539216 369098708 536870848 691078432 738197416 1015021447 1073741696 1382156864 1476394832 2030042894 2764313728 2952789664 4060085788 5905579328 8120171576 11811158656 16240343152 32480686304 64961372608 129922745216