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20812364014500 = 22325341112804141
BaseRepresentation
bin1001011101101110000011…
…00100000110001110100100
32201200122100102200021000100
410232313001210012032210
510211442210141431000
6112133022410144100
74245433532144262
oct456670144061644
981618312607010
1020812364014500
1166a45239aa933
1224016aa722030
13b7c79c947006
1451d4766b9432
1526159d84ea00
hex12edc19063a4

20812364014500 has 144 divisors (see below), whose sum is σ = 67257439192944. Its totient is φ = 5414598720000.

The previous prime is 20812364014499. The next prime is 20812364014549. The reversal of 20812364014500 is 541046321802.

It is a happy number.

20812364014500 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 2 + 3 + 640 + 1 + 4 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8336478191616 + 12475885822884 = 2887296^2 + 3532122^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 56217571 + ... + 56586570.

It is an arithmetic number, because the mean of its divisors is an integer number (467065549951).

Almost surely, 220812364014500 is an apocalyptic number.

20812364014500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20812364014500 is an abundant number, since it is smaller than the sum of its proper divisors (46445075178444).

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

20812364014500 is a wasteful number, since it uses less digits than its factorization.

20812364014500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112804207 (or 112804192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20812364014500 in words is "twenty trillion, eight hundred twelve billion, three hundred sixty-four million, fourteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 125 150 164 180 205 225 246 250 300 369 375 410 450 492 500 615 738 750 820 900 1025 1125 1230 1476 1500 1845 2050 2250 2460 3075 3690 4100 4500 5125 6150 7380 9225 10250 12300 15375 18450 20500 30750 36900 46125 61500 92250 184500 112804141 225608282 338412423 451216564 564020705 676824846 1015237269 1128041410 1353649692 1692062115 2030474538 2256082820 2820103525 3384124230 4060949076 4624969781 5076186345 5640207050 6768248460 8460310575 9249939562 10152372690 11280414100 13874909343 14100517625 16920621150 18499879124 20304745380 23124848905 25380931725 27749818686 28201035250 33841242300 41624728029 42301552875 46249697810 50761863450 55499637372 56402070500 69374546715 83249456058 84603105750 92499395620 101523726900 115624244525 126904658625 138749093430 166498912116 169206211500 208123640145 231248489050 253809317250 277498186860 346872733575 416247280290 462496978100 507618634500 578121222625 693745467150 832494560580 1040618200725 1156242445250 1387490934300 1734363667875 2081236401450 2312484890500 3468727335750 4162472802900 5203091003625 6937454671500 10406182007250 20812364014500