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204212412623616 = 2833473673208627
BaseRepresentation
bin101110011011101011101000…
…010100000010101100000000
3222210001111221011011001112120
4232123223220110002230000
5203231304010112423431
62002153515351124240
761004600645660655
oct5633535024025400
9883044834131476
10204212412623616
115a082aa8134a41
121aaa1897973680
1389c41bcb7c687
14385dd0d791c2c
151892078098196
hexb9bae8502b00

204212412623616 has 144 divisors (see below), whose sum is σ = 545220130164864. Its totient is φ = 67855830147072.

The previous prime is 204212412623509. The next prime is 204212412623671. The reversal of 204212412623616 is 616326214212402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978735495 + ... + 978944121.

Almost surely, 2204212412623616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204212412623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272610065082432).

204212412623616 is an abundant number, since it is smaller than the sum of its proper divisors (341007717541248).

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

204212412623616 is a wasteful number, since it uses less digits than its factorization.

204212412623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212666 (or 212652 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 204212412623616 in words is "two hundred four trillion, two hundred twelve billion, four hundred twelve million, six hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 347 384 694 768 1041 1388 2082 2776 3673 4164 5552 7346 8328 11019 11104 14692 16656 22038 22208 29384 33312 44076 44416 58768 66624 88152 88832 117536 133248 176304 208627 235072 266496 352608 417254 470144 625881 705216 834508 940288 1251762 1274531 1410432 1669016 2503524 2549062 2820864 3338032 3823593 5007048 5098124 6676064 7647186 10014096 10196248 13352128 15294372 20028192 20392496 26704256 30588744 40056384 40784992 53408512 61177488 72393569 80112768 81569984 122354976 144787138 160225536 163139968 217180707 244709952 289574276 326279936 434361414 489419904 579148552 766286971 868722828 978839808 1158297104 1532573942 1737445656 2298860913 2316594208 3065147884 3474891312 4597721826 4633188416 6130295768 6949782624 9195443652 9266376832 12260591536 13899565248 18390887304 18532753664 24521183072 27799130496 36781774608 49042366144 55598260992 73563549216 98084732288 147127098432 196169464576 265901578937 294254196864 531803157874 588508393728 797704736811 1063606315748 1595409473622 2127212631496 3190818947244 4254425262992 6381637894488 8508850525984 12763275788976 17017701051968 25526551577952 34035402103936 51053103155904 68070804207872 102106206311808 204212412623616