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69164429136 = 243114110331019
BaseRepresentation
bin100000001101010000…
…1010110111101010000
320121112012002001010120
41000122201112331100
52113122043213021
651435041430240
74665646642665
oct1003241267520
9217465061116
1069164429136
1127372576340
12114a303b380
1366a32bbc1a
1434c1a6ba6c
151bec0ae2c6
hex101a856f50

69164429136 has 160 divisors (see below), whose sum is σ = 201617095680. Its totient is φ = 20248550400.

The previous prime is 69164429129. The next prime is 69164429167. The reversal of 69164429136 is 63192446196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2214235 + ... + 2245253.

It is an arithmetic number, because the mean of its divisors is an integer number (1260106848).

Almost surely, 269164429136 is an apocalyptic number.

69164429136 is a gapful number since it is divisible by the number (66) 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 69164429136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100808547840).

69164429136 is an abundant number, since it is smaller than the sum of its proper divisors (132452666544).

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

69164429136 is a wasteful number, since it uses less digits than its factorization.

69164429136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31185 (or 31179 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The spelling of 69164429136 in words is "sixty-nine billion, one hundred sixty-four million, four hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 103 123 132 164 176 206 246 264 309 328 412 451 492 528 618 656 824 902 984 1133 1236 1353 1648 1804 1968 2266 2472 2706 3399 3608 4223 4532 4944 5412 6798 7216 8446 9064 10824 12669 13596 16892 18128 21648 25338 27192 31019 33784 46453 50676 54384 62038 67568 92906 93057 101352 124076 139359 185812 186114 202704 248152 278718 341209 371624 372228 496304 557436 682418 743248 744456 1023627 1114872 1271779 1364836 1488912 2047254 2229744 2543558 2729672 3194957 3815337 4094508 5087116 5459344 6389914 7630674 8189016 9584871 10174232 12779828 13989569 15261348 16378032 19169742 20348464 25559656 27979138 30522696 35144527 38339484 41968707 51119312 55958276 61045392 70289054 76678968 83937414 105433581 111916552 130993237 140578108 153357936 167874828 210867162 223833104 261986474 281156216 335749656 392979711 421734324 523972948 562312432 671499312 785959422 843468648 1047945896 1440925607 1571918844 1686937296 2095891792 2881851214 3143837688 4322776821 5763702428 6287675376 8645553642 11527404856 17291107284 23054809712 34582214568 69164429136