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2723545002152 = 2313314323384317
BaseRepresentation
bin100111101000011111111…
…011101011000010101000
3100122100221112102021200202
4213220133323223002220
5324110310010032102
65443102421251332
7400524661355522
oct47503773530250
910570845367622
102723545002152
1196005a173047
1237ba11863b48
13169aa1970b40
1495b6abd0a12
154aca414be02
hex27a1feeb0a8

2723545002152 has 128 divisors (see below), whose sum is σ = 5833888220160. Its totient is φ = 1183068149760.

The previous prime is 2723545002149. The next prime is 2723545002251. The reversal of 2723545002152 is 2512005453272.

It is a super-2 number, since 2×27235450021522 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32259098 + ... + 32343414.

It is an arithmetic number, because the mean of its divisors is an integer number (45577251720).

Almost surely, 22723545002152 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 2723545002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916944110080).

2723545002152 is an abundant number, since it is smaller than the sum of its proper divisors (3110343218008).

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

2723545002152 is a wasteful number, since it uses less digits than its factorization.

2723545002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84643 (or 84639 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 38.

The spelling of 2723545002152 in words is "two trillion, seven hundred twenty-three billion, five hundred forty-five million, two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 43 52 62 86 104 124 172 233 248 344 403 466 559 806 932 1118 1333 1612 1864 2236 2666 3029 3224 4472 5332 6058 7223 10019 10664 12116 14446 17329 20038 24232 28892 34658 40076 57784 69316 80152 84317 93899 130247 138632 168634 187798 260494 310589 337268 375596 520988 621178 674536 751192 1041976 1096121 1242356 2192242 2484712 2613827 3625631 4037657 4384484 5227654 7251262 8075314 8768968 10455308 14502524 16150628 19645861 20910616 29005048 32301256 33979751 39291722 47133203 67959502 78583444 94266406 112394561 135919004 157166888 188532812 224789122 255396193 271838008 377065624 449578244 510792386 609021691 844772023 899156488 1021584772 1218043382 1461129293 1689544046 2043169544 2436086764 2922258586 3379088092 4872173528 5844517172 6758176184 7917281983 10982036299 11689034344 15834563966 21964072598 26187932713 31669127932 43928145196 52375865426 63338255864 87856290392 104751730852 209503461704 340443125269 680886250538 1361772501076 2723545002152