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80019178272 = 25321142435953
BaseRepresentation
bin100101010000110000…
…0111100001100100000
321122112200012102122100
41022201200330030200
52302334402201042
6100432120410400
75531643535635
oct1124140741440
9248480172570
1080019178272
1130a32815aa0
1213612316a00
1377130bb1c7
143c3152c18c
15213500b24c
hex12a183c320

80019178272 has 144 divisors (see below), whose sum is σ = 248341530528. Its totient is φ = 24238448640.

The previous prime is 80019178189. The next prime is 80019178297. The reversal of 80019178272 is 27287191008.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×800191782723 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13438848 + ... + 13444800.

It is an arithmetic number, because the mean of its divisors is an integer number (1724593962).

Almost surely, 280019178272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80019178272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124170765264).

80019178272 is an abundant number, since it is smaller than the sum of its proper divisors (168322352256).

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

80019178272 is a wasteful number, since it uses less digits than its factorization.

80019178272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 80019178272 in words is "eighty billion, nineteen million, one hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4243 5953 8486 11906 12729 16972 17859 23812 25458 33944 35718 38187 46673 47624 50916 53577 65483 67888 71436 76374 93346 95248 101832 107154 130966 135776 140019 142872 152748 186692 190496 196449 203664 214308 261932 280038 285744 305496 373384 392898 407328 420057 428616 523864 560076 571488 589347 610992 746768 785796 840114 857232 1047728 1120152 1178694 1221984 1493536 1571592 1680228 1714464 2095456 2240304 2357388 3143184 3360456 4480608 4714776 6286368 6720912 9429552 13441824 18859104 25258579 50517158 75775737 101034316 151551474 202068632 227327211 277844369 303102948 404137264 454654422 555688738 606205896 808274528 833533107 909308844 1111377476 1212411792 1667066214 1818617688 2222754952 2424823584 2500599321 3334132428 3637235376 4445509904 5001198642 6668264856 7274470752 8891019808 10002397284 13336529712 20004794568 26673059424 40009589136 80019178272