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27078120972 = 22327733314447
BaseRepresentation
bin11001001101111110…
…110101011000001100
32120220010021001212100
4121031332311120030
5420423444332342
620234534035100
71646010142050
oct311576653014
976803231770
1027078120972
1110535991081
1252b84a8a90
132726c338b6
14144c379c60
15a87366e4c
hex64dfb560c

27078120972 has 144 divisors (see below), whose sum is σ = 79554721792. Its totient is φ = 7605861120.

The previous prime is 27078120967. The next prime is 27078120973. The reversal of 27078120972 is 27902187072.

It is not an unprimeable number, because it can be changed into a prime (27078120973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6086853 + ... + 6091299.

Almost surely, 227078120972 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 27078120972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39777360896).

27078120972 is an abundant number, since it is smaller than the sum of its proper divisors (52476600820).

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

27078120972 is a wasteful number, since it uses less digits than its factorization.

27078120972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 27078120972 in words is "twenty-seven billion, seventy-eight million, one hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 331 438 511 657 662 876 993 1022 1314 1324 1533 1986 2044 2317 2628 2979 3066 3972 4447 4599 4634 5958 6132 6951 8894 9198 9268 11916 13341 13902 17788 18396 20853 24163 26682 27804 31129 40023 41706 48326 53364 62258 72489 80046 83412 93387 96652 124516 144978 160092 169141 186774 217467 280161 289956 324631 338282 373548 434934 507423 560322 649262 676564 869868 973893 1014846 1120644 1298524 1471957 1522269 1947786 2029692 2272417 2921679 2943914 3044538 3895572 4415871 4544834 5843358 5887828 6089076 6817251 8831742 9089668 10303699 11686716 13247613 13634502 17663484 20451753 20607398 26495226 27269004 30911097 40903506 41214796 52990452 61822194 81807012 92733291 107452861 123644388 185466582 214905722 322358583 370933164 429811444 644717166 752170027 967075749 1289434332 1504340054 1934151498 2256510081 3008680108 3868302996 4513020162 6769530243 9026040324 13539060486 27078120972