Search a number
-
+
72052066612170 = 235580936651491
BaseRepresentation
bin10000011000011111101101…
…110101011111001111001010
3100110010002222101222120100000
4100120133231311133033022
533421000113023042140
6413124132404423430
721114406244032161
oct2030375565371712
9313102871876300
1072052066612170
1120a5a1232332a7
1280b820b3a7b76
133128633208918
1413b14a52c03d8
1584e38d9d7a30
hex4187edd5f3ca

72052066612170 has 96 divisors (see below), whose sum is σ = 194513866223040. Its totient is φ = 19190133740160.

The previous prime is 72052066612147. The next prime is 72052066612189. The reversal of 72052066612170 is 7121666025027.

It is a super-2 number, since 2×720520666121702 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16359876 + ... + 20291615.

It is an arithmetic number, because the mean of its divisors is an integer number (2026186106490).

Almost surely, 272052066612170 is an apocalyptic number.

72052066612170 is an abundant number, since it is smaller than the sum of its proper divisors (122461799610870).

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

72052066612170 is a wasteful number, since it uses less digits than its factorization.

72052066612170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36652322 (or 36652310 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72052066612170 in words is "seventy-two trillion, fifty-two billion, sixty-six million, six hundred twelve thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 809 810 1215 1618 2427 2430 4045 4854 7281 8090 12135 14562 21843 24270 36405 43686 65529 72810 109215 131058 196587 218430 327645 393174 655290 982935 1965870 36651491 73302982 109954473 183257455 219908946 329863419 366514910 549772365 659726838 989590257 1099544730 1649317095 1979180514 2968770771 3298634190 4947951285 5937541542 8906312313 9895902570 14843853855 17812624626 29651056219 29687707710 44531561565 59302112438 88953168657 89063123130 148255281095 177906337314 266859505971 296510562190 444765843285 533719011942 800578517913 889531686570 1334297529855 1601157035826 2401735553739 2668595059710 4002892589565 4803471107478 7205206661217 8005785179130 12008677768695 14410413322434 24017355537390 36026033306085 72052066612170