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67428678126964 = 227111976071514701
BaseRepresentation
bin11110101010011011101100…
…11010000100110101110100
322211202010012111212122210211
433111031312122010311310
532314222413100030324
6355224150155555204
720126363334235360
oct1725156632046564
9284663174778724
1067428678126964
111a537383a39020
127690167a5bb04
132b8166008443b
1412917cb7a42a0
157bde94713294
hex3d5376684d74

67428678126964 has 96 divisors (see below), whose sum is σ = 154880581847040. Its totient is φ = 24884945712000.

The previous prime is 67428678126937. The next prime is 67428678127081. The reversal of 67428678126964 is 46962187682476.

It is a Harshad number since it is a multiple of its sum of digits (76).

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, 43758814 + ... + 45273514.

It is an arithmetic number, because the mean of its divisors is an integer number (1613339394240).

Almost surely, 267428678126964 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 67428678126964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77440290923520).

67428678126964 is an abundant number, since it is smaller than the sum of its proper divisors (87451903720076).

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

67428678126964 is a wasteful number, since it uses less digits than its factorization.

67428678126964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522349 (or 1522347 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 76.

The spelling of 67428678126964 in words is "sixty-seven trillion, four hundred twenty-eight billion, six hundred seventy-eight million, one hundred twenty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 7607 15214 30428 53249 83677 106498 144533 167354 212996 289066 334708 578132 585739 1011731 1171478 1514701 1589863 2023462 2342956 3029402 3179726 4046924 6058804 6359452 10602907 11129041 16661711 21205814 22258082 28779319 33323422 42411628 44516164 57558638 66646844 115117276 116631977 201455233 233263954 316572509 402910466 466527908 633145018 805820932 1266290036 2216007563 4432015126 8864030252 11522330507 23044661014 46089322028 80656313549 126745635577 161312627098 218924279633 253491271154 322625254196 437848559266 506982542308 875697118532 887219449039 1532469957431 1774438898078 2408167075963 3064939914862 3548877796156 4816334151926 6129879829724 9632668303852 16857169531741 33714339063482 67428678126964