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66130653322125 = 3353715711781783
BaseRepresentation
bin11110000100101001111100…
…00110011001101110001101
322200011000202221012111222000
433002110332012121232031
532131441034222302000
6352352000331342513
716633532144365320
oct1702247606315615
9280130687174860
1066130653322125
111a086941861227
127500691bb1a39
132ab912b25ac42
141248a526987b7
1579a323e01000
hex3c253e199b8d

66130653322125 has 128 divisors (see below), whose sum is σ = 139824145244160. Its totient is φ = 30211895592000.

The previous prime is 66130653322061. The next prime is 66130653322127. The reversal of 66130653322125 is 52122335603166.

66130653322125 is a `hidden beast` number, since 6 + 6 + 1 + 306 + 5 + 3 + 322 + 12 + 5 = 666.

It is not a de Polignac number, because 66130653322125 - 26 = 66130653322061 is a prime.

It is a super-2 number, since 2×661306533221252 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66130653322127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36223984 + ... + 38005766.

It is an arithmetic number, because the mean of its divisors is an integer number (1092376134720).

Almost surely, 266130653322125 is an apocalyptic number.

It is an amenable number.

66130653322125 is an abundant number, since it is smaller than the sum of its proper divisors (73693491922035).

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

66130653322125 is a wasteful number, since it uses less digits than its factorization.

66130653322125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783385 (or 1783369 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 66130653322125 in words is "sixty-six trillion, one hundred thirty billion, six hundred fifty-three million, three hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1571 1575 2625 3375 4713 4725 7855 7875 10997 14139 23565 23625 32991 39275 42417 54985 70695 98973 117825 164955 196375 212085 274925 296919 353475 494865 589125 824775 1060425 1374625 1484595 1767375 1781783 2474325 4123875 5302125 5345349 7422975 8908915 12371625 12472481 16036047 26726745 37114875 37417443 44544575 48108141 62362405 80180235 112252329 133633725 187087215 222722875 240540705 311812025 336756987 400901175 561261645 668168625 935436075 1202703525 1559060125 1683784935 2004505875 2799181093 2806308225 4677180375 6013517625 8397543279 8418924675 13995905465 14031541125 19594267651 25192629837 41987716395 42094623375 58782802953 69979527325 75577889511 97971338255 125963149185 176348408859 209938581975 293914014765 349897636625 377889447555 489856691275 529045226577 629815745925 881742044295 1049692909875 1469570073825 1889447237775 2449283456375 2645226132885 3149078729625 4408710221475 7347850369125 9447236188875 13226130664425 22043551107375 66130653322125