Search a number
-
+
187228815541620 = 22353112726240973
BaseRepresentation
bin101010100100100010011011…
…000010101100010101110100
3220112220220022001221101201120
4222210202123002230111310
5144020024103234312440
61502111421440023540
754302556405460416
oct5244423302542564
9815826261841646
10187228815541620
1154725327367766
1218bba247601bb0
1380617a87a5598
143433cccac29b6
15169a3b79d9dd0
hexaa489b0ac574

187228815541620 has 144 divisors (see below), whose sum is σ = 545446348973568. Its totient is φ = 47936656293120.

The previous prime is 187228815541561. The next prime is 187228815541633. The reversal of 187228815541620 is 26145518822781.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 26879454 + ... + 33120426.

It is an arithmetic number, because the mean of its divisors is an integer number (3787821867872).

Almost surely, 2187228815541620 is an apocalyptic number.

187228815541620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187228815541620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272723174486784).

187228815541620 is an abundant number, since it is smaller than the sum of its proper divisors (358217533431948).

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

187228815541620 is a wasteful number, since it uses less digits than its factorization.

187228815541620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241270 (or 6241141 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 60.

The spelling of 187228815541620 in words is "one hundred eighty-seven trillion, two hundred twenty-eight billion, eight hundred fifteen million, five hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 127 155 186 254 310 372 381 465 508 620 635 762 930 1270 1524 1860 1905 2540 3810 3937 7620 7874 11811 15748 16129 19685 23622 32258 39370 47244 48387 59055 64516 78740 80645 96774 118110 161290 193548 236220 241935 322580 483870 499999 967740 999998 1499997 1999996 2499995 2999994 4999990 5999988 6240973 7499985 9999980 12481946 14999970 18722919 24963892 29999940 31204865 37445838 62409730 74891676 93614595 124819460 187229190 193470163 374458380 386940326 580410489 773880652 792603571 967350815 1160820978 1585207142 1934701630 2321641956 2377810713 2902052445 3170414284 3869403260 3963017855 4755621426 5804104890 7926035710 9511242852 11608209780 11889053565 15852071420 23778107130 24570710701 47556214260 49141421402 73712132103 98282842804 100660653517 122853553505 147424264206 201321307034 245707107010 294848528412 301981960551 368560660515 402642614068 491414214020 503303267585 603963921102 737121321030 1006606535170 1207927842204 1474242642060 1509909802755 2013213070340 3019819605510 3120480259027 6039639211020 6240960518054 9361440777081 12481921036108 15602401295135 18722881554162 31204802590270 37445763108324 46807203885405 62409605180540 93614407770810 187228815541620