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72050017060200 = 23352235221015729
BaseRepresentation
bin10000011000011101110011…
…101011000100010101101000
3100110002220200120101112120210
4100120131303223010111220
533420431413331411300
6413123153151421120
721114304406110044
oct2030356353042550
9313086616345523
1072050017060200
1120a592713215a3
1280b7938b247a0
13312839770208a
1413b134d007024
1584e2bdad8050
hex418773ac4568

72050017060200 has 96 divisors (see below), whose sum is σ = 233066142187200. Its totient is φ = 18377975362560.

The previous prime is 72050017060139. The next prime is 72050017060331. The reversal of 72050017060200 is 206071005027.

It is a super-3 number, since 3×720500170602003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2610494065 + ... + 2610521664.

It is an arithmetic number, because the mean of its divisors is an integer number (2427772314450).

Almost surely, 272050017060200 is an apocalyptic number.

It is an amenable number.

72050017060200 is an abundant number, since it is smaller than the sum of its proper divisors (161016125127000).

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

72050017060200 is a wasteful number, since it uses less digits than its factorization.

72050017060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221015771 (or 5221015762 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

Adding to 72050017060200 its reverse (206071005027), we get a palindrome (72256088065227).

The spelling of 72050017060200 in words is "seventy-two trillion, fifty billion, seventeen million, sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 5221015729 10442031458 15663047187 20884062916 26105078645 31326094374 41768125832 52210157290 62652188748 78315235935 104420314580 120083361767 125304377496 130525393225 156630471870 208840629160 240166723534 261050786450 313260943740 360250085301 391576179675 480333447068 522101572900 600416808835 626521887480 720500170602 783152359350 960666894136 1044203145800 1200833617670 1441000341204 1566304718700 1801250426505 2401667235340 2882000682408 3002084044175 3132609437400 3602500853010 4803334470680 6004168088350 7205001706020 9006252132525 12008336176700 14410003412040 18012504265050 24016672353400 36025008530100 72050017060200