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3422564453264 = 2411315035572239
BaseRepresentation
bin110001110011100000101…
…111010000101110010000
3110010012020101211122020012
4301303200233100232100
5422033403000001024
611140145430134052
7502162223563115
oct61634057205620
913105211748205
103422564453264
1110aa557453860
12473395ab1328
131ba991c21228
14bb91dbac90c
155e0670b650e
hex31ce0bd0b90

3422564453264 has 160 divisors (see below), whose sum is σ = 7499040030720. Its totient is φ = 1499166374400.

The previous prime is 3422564453263. The next prime is 3422564453293. The reversal of 3422564453264 is 4623544652243.

It is not an unprimeable number, because it can be changed into a prime (3422564453263) 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 31 ways as a sum of consecutive naturals, for example, 1528611857 + ... + 1528614095.

It is an arithmetic number, because the mean of its divisors is an integer number (46869000192).

Almost surely, 23422564453264 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 3422564453264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749520015360).

3422564453264 is an abundant number, since it is smaller than the sum of its proper divisors (4076475577456).

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

3422564453264 is a wasteful number, since it uses less digits than its factorization.

3422564453264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3343 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 50.

The spelling of 3422564453264 in words is "three trillion, four hundred twenty-two billion, five hundred sixty-four million, four hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 503 557 682 1006 1114 1364 2012 2228 2239 2728 4024 4456 4478 5456 5533 6127 8048 8912 8956 11066 12254 15593 17267 17912 22132 24508 24629 31186 34534 35824 44264 49016 49258 62372 69068 69409 88528 98032 98516 124744 138136 138818 171523 189937 197032 249488 276272 277636 280171 343046 379874 394064 555272 560342 686092 759748 763499 1110544 1120684 1126217 1247123 1372184 1519496 1526998 2241368 2252434 2494246 2744368 3038992 3053996 3081881 4482736 4504868 4988492 6107992 6163762 8685301 9009736 9976984 12215984 12327524 12388387 13718353 17370602 18019472 19953968 24655048 24776774 27436706 34741204 34912727 38660813 49310096 49553548 54873412 69482408 69825454 77321626 95538311 99107096 109746824 138964816 139650908 154643252 191076622 198214192 219493648 279301816 309286504 382153244 384039997 425268943 558603632 618573008 627302869 764306488 768079994 850537886 1254605738 1528612976 1536159988 1701075772 2509211476 3072319976 3402151544 5018422952 6144639952 6804303088 6900331559 10036845904 13800663118 19446388939 27601326236 38892777878 55202652472 77785555756 110405304944 155571111512 213910278329 311142223024 427820556658 855641113316 1711282226632 3422564453264